Research Topics on Nonlinear partial differential equations [Math]

Research Area/ Research Interest: Nonlinear partial differential equations Math

Research Paper Topics ideas for Masters and Ph.D. Thesis and publication

Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines
A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations
Reduced operator inference for nonlinear partial differential equations
Three ways to solve partial differential equations with neural networks—A review
Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations
New numerical approach for time-fractional partial differential equations arising in physical system involving natural decomposition method
Explicit tight frames for simulating a new system of fractional nonlinear partial differential equation model of Alzheimer disease
Application of the Advanced exp (-φ (ξ))-expansion method to the Nonlinear Conformable Time-Fractional Partial Differential Equations
A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven
The optimal homotopy analysis method applied on nonlinear time-fractional hyperbolic partial differential equation s
Analytical analysis of fractional-order multi-dimensional dispersive partial differential equations
Solution of partial differential equations by new double integral transform (Laplace-Sumudu transform)
An improved data-free surrogate model for solving partial differential equations using deep neural networks
The neural network collocation method for solving partial differential equations
Review of the methods of transition from partial to ordinary differential equations: from macro-to nano-structural dynamics
New approximate-analytical solutions to partial differential equations via auxiliary function method
Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE)
Use of quantum differential equations in sonic processes
Soliton solutions of nonlinear fractional differential equations with their applications in mathematical physics
A scientific machine learning approach to learning reduced models for nonlinear partial differential equations
… Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations.
Learning the solution operator of parametric partial differential equations with physics-informed DeepONets
Optical solitons of NLS-type differential equations by extended direct algebraic method
Numerical solutions of the partial differential equations for investigating the significance of partial slip due to lateral velocity and viscous dissipation: the case of blood …
Probabilistic learning on manifolds constrained by nonlinear partial differential equations for small datasets
The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations
Simple equations method (SEsM) and its connection with the inverse scattering transform method
Optimal system, invariance analysis of fourth-Order nonlinear ablowitz-Kaup-Newell-Segur water wave dynamical equation using lie symmetry approach
The homotopy perturbation method for fractional differential equations: part 1 Mohand transform
Exact solutions of conformable fractional differential equations
Inverse Problem for a Partial Differential Equation with Gerasimov–Caputo-Type Operator and Degeneration
APIK: Active physics-informed kriging model with partial differential equations
Painlevé analysis and traveling wave solutions of the fourth-order differential equation for pulse with non-local nonlinearity
Analytical solutions of linear fractional partial differential equations using fractional Fourier transform
On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models
Methods for constructing complex solutions of nonlinear PDEs using simpler solutions
Peridynamics enabled learning partial differential equations
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning
Simple equations method (SEsM) and its particular cases: Hirota method
Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation
Partial differential equations discovery with EPDE framework: application for real and synthetic data
A modified exp-function method for fractional partial differential equations
New extended direct algebraic method for the resonant nonlinear Schrödinger equation with Kerr law nonlinearity
Haar wavelet method for solving coupled system of fractional order partial differential equations
A study of the generalized nonlinear advection-diffusion equation arising in engineering sciences
… of the exp-function and generalized Kudryashov methods for obtaining new exact solutions of certain nonlinear conformable time partial integro-differential equations
An analytical technique, based on natural transform to solve fractional-order parabolic equations
An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations
Explicit solutions to nonlinear Chen–Lee–Liu equation
Variational Principles for Two Compound Nonlinear Equations‎ with Variable Coefficients
Generalized invariant manifolds for integrable equations and their applications
Distinct solutions of nonlinear space–time fractional evolution equations appearing in mathematical physics via a new technique
Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation
The solution of Poisson partial differential equations via double Laplace transform method
He–Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics
Deep learning-based method coupled with small sample learning for solving partial differential equations
Dynamics of exact soliton solutions to the coupled nonlinear system using reliable analytical mathematical approaches
New iterative approach for the solutions of fractional order inhomogeneous partial differential equations
Numerical solutions of coupled nonlinear fractional KdV equations using He’s fractional calculus
Solutions of fractional order pseudo-hyperbolic telegraph partial differential equations using finite difference method
Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities
Homogeneous balance method and auxiliary equation method as particular cases of simple equations method (SEsM)
The reducing rank method to solve third-order Duffing equation with the homotopy perturbation
… framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay
On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator
Analysis of the fractional-order local poisson equation in fractal porous media
White noise driven stochastic partial differential equations: triviality and non-triviality
Multiwavelet-based operator learning for differential equations
Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation
Some exact explicit solutions and conservation laws of Chaffee-Infante equation by Lie symmetry analysis
Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces
Traveling wave solutions for space-time fractional Cahn Hilliard equation and space-time fractional symmetric regularized long-wave equation
Learning thermodynamically stable and Galilean invariant partial differential equations for non-equilibrium flows
New solitonic and rogue wave solutions of a Klein–Gordon equation with quadratic nonlinearity
Properties of some higher-dimensional nonlinear Schrödinger equations
Learning nonlinear dynamics with behavior ordinary/partial/system of the differential equations: looking through the lens of orthogonal neural networks
Analytical solution of nonlinear differential equations two oscillators mechanism using Akbari–Ganji method
The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh methods
Linearized stable spectral method to analyze two-dimensional nonlinear evolutionary and reaction-diffusion models
Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations
Solitary wave patterns and conservation laws of fourth-order nonlinear symmetric regularized long-wave equation arising in plasma
Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations
Computation of traveling wave solution for nonlinear variable-order fractional model of modified equal width equation
Searching closed form analytic solutions to some nonlinear fractional wave equations
A deep learning approach to reduced order modelling of parameter dependent partial differential equations
Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation
Lump solutions of a nonlinear PDE containing a third-order derivative of time
Learning elliptic partial differential equations with randomized linear algebra
Heuristic computational design of Morlet wavelet for solving the higher order singular nonlinear differential equations
New structures for closed-form wave solutions for the dynamical equations model related to the ion sound and Langmuir waves
Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method
The analytical solution of fractional-order Whitham–Broer–Kaup equations by an Elzaki decomposition method
A combined meshfree exponential Rosenbrock integrator for the third-order dispersive partial differential equations
A novel collocation approach to solve a nonlinear stochastic differential equation of fractional order involving a constant delay
Numerical continuation and bifurcation in Nonlinear PDEs
New soliton wave structures of nonlinear (4+ 1)-dimensional Fokas dynamical model by using different methods
Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques
Nonlinear mathematical model and numerical algorithm for monitoring and predicting the concentration of harmful substances in the atmosphere
Non-intrusive surrogate modeling for parametrized time-dependent partial differential equations using convolutional autoencoders
Three semi-implicit compact finite difference schemes for the nonlinear partial integro-differential equation arising from viscoelasticity
Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches
Adomian decomposition and fractional power series solution of a class of nonlinear fractional differential equations
ARA-residual power series method for solving partial fractional differential equations
Traveling wave solutions to the nonlinear evolution equation using expansion method and addendum to Kudryashov’s method
New analytical solutions for the oskolkov-type equations in fluid dynamics via a modified methodology
Solving nonlinear PDEs using the higher order Haar wavelet method on nonuniform and adaptive grids
A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations
Extension of operational matrix technique for the solution of nonlinear system of Caputo fractional differential equations subjected to integral type boundary constrains
Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations
Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrödinger equation
A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions
A new (3+ 1)-dimensional Painlevé-integrable Sakovich equation: multiple soliton solutions
Maximum principle for space and time-space fractional partial differential equations
Mathematical control theory for stochastic partial differential equations
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations
Actor-critic method for high dimensional static Hamilton–Jacobi–Bellman partial differential equations based on neural networks
Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations
He’s frequency formulation for fractal nonlinear oscillator arising in a microgravity space
Takagi–Sugeno fuzzy-model-based event-triggered point control for semilinear partial differential equation systems using collocated pointwise measurements
Partial differential equations
Some applications of Wright functions in fractional differential equations
Search for adequate closed form wave solutions to space–time fractional nonlinear equations
The blow-up and global existence of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
Exact solutions of the fractional Sharma-Tasso-Olver equation and the fractional Bogoyavlenskii’s breaking soliton equations
Analytical study of fractional nonlinear Schrödinger equation with harmonic oscillator
Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system
Bilinear residual network method for solving the exactly explicit solutions of nonlinear evolution equations
Space–time generalized finite difference nonlinear model for solving unsteady Burgers’ equations
A computational algorithm for the numerical solution of fractional order delay differential equations
Distributed learning machines for solving forward and inverse problems in partial differential equations
The homogeneous balance method and its applications for finding the exact solutions for nonlinear equations
Fundamental solutions to the stochastic perturbed nonlinear Schrödinger’s equation via gamma distribution
New exact traveling wave solutions to the (2+ 1)-dimensional Chiral nonlinear Schrödinger equation
An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory
Non-Newtonian based micropolar fluid flow over nonlinear starching cylinder under Soret and Dufour numbers effects
Generalized-expansion method for some soliton wave solutions of Burgers-like and potential KdV equations
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm
Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics
A new perspective on the study of the fractal coupled Boussinesq–Burger equation in shallow water
Numerical solution of nonlinear delay differential equations of fractional variable-order using a novel shifted Jacobi operational matrix
Averaging principle for impulsive stochastic partial differential equations
An effective computational approach and sensitivity analysis to pseudo-parabolic-type equations
Nonlinear pantograph-type diffusion PDEs: Exact solutions and the principle of analogy
Meta-mgnet: Meta multigrid networks for solving parameterized partial differential equations
ReLie: a Reduce program for Lie group analysis of differential equations
Analytical and semi-analytical solutions for time-fractional Cahn–Allen equation
Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative
Numerical computations for Buongiorno nano fluid model on the boundary layer flow of viscoelastic fluid towards a nonlinear stretching sheet
On successive linearization method for differential equations with nonlinear conditions
Computational Analysis of MHD Nonlinear Radiation Casson Hybrid Nanofluid Flow at Vertical Stretching Sheet
Extreme theory of functional connections: A fast physics-informed neural network method for solving ordinary and partial differential equations
Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics
Development of mathematical modeling of multi-phase flow of Casson rheological fluid: Theoretical approach
A nonlinear solver based on an adaptive neural network, introduction and application to porous media flow
On the soliton solutions for an intrinsic fractional discrete nonlinear electrical transmission line
Periodic and solitary wave solutions to a family of new 3D fractional WBBM equations using the two-variable method
Nonlinear vibration of fractional Kelvin–Voigt viscoelastic beam on nonlinear elastic foundation
Explicit wave phenomena to the couple type fractional order nonlinear evolution equations
Theory of functional connections applied to linear odes subject to integral constraints and linear ordinary integro-differential equations
On the conformable nonlinear Schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients
A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives
Selectnet: Self-paced learning for high-dimensional partial differential equations
Abundant exact solutions to the strain wave equation in micro-structured solids
A method for constructing exact solutions of nonlinear delay PDEs
Neural ordinary differential equations for data-driven reduced order modeling of environmental hydrodynamics
A new numerical scheme for solving pantograph type nonlinear fractional integro-differential equations
Abundant wave solutions to two novel KP-like equations using an effective integration method
Physical properties for bidirectional wave solutions to a generalized fifth-order equation with third-order time-dispersion term
Nonlinear acoustic wave structures to the Zabolotskaya-Khokholov dynamical model
On the exact solutions to some system of complex nonlinear models
Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function
Robust data-driven discovery of partial differential equations under uncertainties
Efficient quantum algorithm for dissipative nonlinear differential equations
An analytical Technique for Solving New Computational‎ Solutions of the Modified Zakharov-Kuznetsov‎ Equation Arising‎ in Electrical Engineering
Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics
A priori generalization analysis of the deep ritz method for solving high dimensional elliptic partial differential equations
Conserved quantities and travelling wave profiles to the nonlinear transmission line via Lie group analysis
Solution of third order linear and nonlinear boundary value problems of integro-differential equations using Haar wavelet method
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
New traveling solutions of the fractional nonlinear KdV and ZKBBM equations with fractional operator
Qualitative analysis and wave propagation of the nonlinear model for low-pass electrical transmission lines
Exact solution of the time fractional variant Boussinesq-Burgers equations
The analysis of fractional-order nonlinear systems of third order KdV and Burgers equations via a novel transform
Computability of differential equations
Existence and uniqueness results for two-term nonlinear fractional differential equations via a fixed point technique
Neural partial differential equations for chaotic systems
Numerical simulation for coupled nonlinear Schrödinger–Korteweg–de Vries and Maccari systems of equations
Mathematical modeling and study of MHD flow of Williamson nanofluid over a nonlinear stretching plate with activation energy
Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder
MIM: A deep mixed residual method for solving high-order partial differential equations
On solution of a class of nonlinear variable order fractional reaction–diffusion equation with Mittag–Leffler kernel
Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations
Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods
Analysis of the fractional-order Kaup–Kupershmidt equation via novel transforms
Physics-informed neural operator for learning partial differential equations
Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Exponential convergence of deep operator networks for elliptic partial differential equations
Pde-gcn: Novel architectures for graph neural networks motivated by partial differential equations
A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients
On entire solutions to eikonal-type equations
Spectral methods to solve nonlinear problems: A review
Supplementary variable method for thermodynamically consistent partial differential equations
Asymptotic stability of fractional order (1, 2] stochastic delay differential equations in Banach spaces
Implicit solitary waves for one of the generalized nonlinear Schrödinger equations
On the new exact traveling wave solutions of the time-space fractional strain wave equation in microstructured solids via the variational method
The analytical analysis of nonlinear fractional-order dynamical models
Research on high precision solution of fractional partial differential equations under heat conduction model
A review on arbitrarily regular conforming virtual element methods for elliptic partial differential equations
A solitary wave solution to the generalized Burgers-Fisher’s equation using an improved differential transform method: A hybrid scheme approach
On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations
Nonlinear dispersion in parabolic law medium and its optical solitons
Similarity solution of the partial differential equations that model water/magnetite nanofluid flow and heat transfer on a stretchable rotating disk subject to thermal …
The unified technique for the nonlinear time-fractional model with the beta-derivative
On the behaviors of solutions of systems of non-linear differential equations with multiple constant delays
Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore
Abundant new exact solutions to the fractional nonlinear evolution equation via Riemann-Liouville derivative
Numerical solutions for solving model time-fractional Fokker–Planck equation
A new analysis of fractional-order equal-width equations via novel techniques
Some Results on a Two Variables Pell Polynomials
An Itô Formula for rough partial differential equations and some applications
Dynamic selective edge-based integer/fractional-order partial differential equation for degraded document image binarization
A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov–Rubenchik equations
Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+ 1)-dimensional BLMP equation in mathematical physics
Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel
Exact analytical wave solutions for space-time variable-order fractional modified equal width equation
Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black–Scholes
New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide
Numerical investigation of fractional-order Swift–Hohenberg equations via a Novel transform
Data-driven modeling of nonlinear traveling waves<? A3B2 show [editpick]?>
Numerical analysis of time-fractional Whitham-Broer-Kaup equations with exponential-decay kernel
Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method
Design of backpropagated intelligent networks for nonlinear second-order Lane–Emden pantograph delay differential systems
A new analytical solution of Klein–Gordon equation with local fractional derivative
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative
A novel design of Gudermannian function as a neural network for the singular nonlinear delayed, prediction and pantograph differential models
Neural networks-based backward scheme for fully nonlinear PDEs
Nonlinearity-managed lump waves in a spatial symmetric HSI model
A pseudo-spectral fourier collocation method for inhomogeneous elliptical inclusions with partial differential equations
A polynomial conjecture connected with rogue waves in the KdV equation
Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method
An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space
Exploring the unknown: the work of Louis Nirenberg on partial differential equations
Bifurcation of new optical solitary wave solutions for the nonlinear long-short wave interaction system via two improved models of ( G ′ G ) expansion method
Partial differential equations in anisotropic Musielak-Orlicz spaces
On nonlinear pantograph fractional differential equations with Atangana–Baleanu–Caputo derivative
Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials
Refraction simulation of internal solitary waves for the fractional Benjamin–Ono equation in fluid dynamics
A novel homotopy perturbation method with applications to nonlinear fractional order KdV and Burger equation with exponential-decay kernel
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence
Numerical solution of fractional partial differential equations via Haar wavelet
Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results
New variational theory for coupled nonlinear fractal Schrödinger system
The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation
A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation
The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation
Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
Heat transfer of TiO2− EG nanoliquid with active and passive control of nanoparticles subject to nonlinear Boussinesq approximation
A ring vibration isolator enhanced by a nonlinear energy sink
Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients
Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space
Accurate sets of solitary solutions for the quadratic–cubic fractional nonlinear Schrödinger equation
Exact solutions of the KdV equation with dual-power law nonlinearity
Optical solitons of the resonant nonlinear Schrödinger equation with arbitrary index
Dynamical behaviour of Chiral nonlinear Schrödinger equation
A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations
A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment
On the Solvability of One Class of Third-Order Differential Equations
Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field
Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions
Blow-up result for a semilinear wave equation with a nonlinear memory term
An approximation technique for first Painlevé equation
DeepXDE: A deep learning library for solving differential equations
Some important criteria for oscillation of non-linear differential equations with middle term
… numerical method based on shifted fractional-order Jacobi operational matrices for solving some classes of two-dimensional nonlinear fractional integral equations
Solving nonlinear differential equations with differentiable quantum circuits
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+ 1)-dimensional nonlinear evolution equation
Nonlinear instability of two streaming-superposed magnetic Reiner-Rivlin Fluids by He-Laplace method
A spectral approach to analyze the nonlinear oscillatory fractional-order differential equations
Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics
Applications of a fixed point result for solving nonlinear fractional and integral differential equations
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells
Inverse problem of recovering the initial condition for a nonlinear equation of the reaction–diffusion–advection type by data given on the position of a reaction front with …
Dynamics and exact solutions of non-evolutionary partial differential equations
On a Volterra type fractional integro-differential equation with degenerate kernel
Distribution dependent stochastic differential equations
Boundary value problem in a domain with deviation from the characteristics for one nonlinear equation of a mixed type
Comparison of Finite-Difference Schemes for the Burgers Problem
The analysis of fractional-order proportional delay physical models via a novel transform
A self-adjoint coupled system of nonlinear ordinary differential equations with nonlocal multi-point boundary conditions on an arbitrary domain
New analytical solitary and periodic wave solutions for generalized variable-coefficients modified KdV equation with external-force term presenting …
Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering
Boundary value problem for a fully nonlinear elliptic equation
New optical solitons perturbation in the birefringent fibers for the CGL equation with Kerr law nonlinearity using two integral schemes methods
Study on the training model of football movement trajectory drop point based on fractional differential equation
Dynamics of a D’Alembert wave and a soliton molecule for an extended BLMP equation
Solving forward and inverse problems of the nonlinear Schrödinger equation with the generalized-symmetric Scarf-II potential via PINN deep learning
An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆
Numerical solution for multi-term fractional delay differential equations
Solution of wave equation by Double Laplace and Double Sumudu transform
Qualitative analysis of Caputo fractional integro-differential equations with constant delays
To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations
Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme
Analytical solutions to the M-derivative resonant Davey–Stewartson equations
Asymptotic behavior of nonlocal partial differential equations with long time memory
Fractional simulation for Darcy-Forchheimer hybrid nanoliquid flow with partial slip over a spinning disk
Some exact wave solutions to a variety of the Schrödinger equation with two nonlinearity laws and conformable derivative
Inverse differential quadrature method: mathematical formulation and error analysis
Dynamics of lump-periodic and breather waves solutions with variable coefficients in liquid with gas bubbles
Local symmetry structure and potential symmetries of time-fractional partial differential equations
The bright and singular solitons of (2+ 1)-dimensional nonlinear Schrödinger equation with spatio-temporal dispersions
Equivalent finite difference and partial differential equations for the lattice Boltzmann method
An exploratory study on machine learning to couple numerical solutions of partial differential equations
Error estimation for second-order partial differential equations in nonvariational form
A comparison of automatic differentiation and continuous sensitivity analysis for derivatives of differential equation solutions
Effects of fractional order time derivative on the solitary wave dynamics of the generalized ZK–Burgers equation
Spectral methods for nonlinear functionals and functional differential equations
Ordinary differential equations and generalized functions
Double-diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton’s boundary constraint
On the Formulaic Solution of a ( n + 1 ) th Order Differential Equation
New conservation laws and exact solutions of the special case of the fifth-order KdV equation
Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation
On the boundary value problems of Hadamard fractional differential equations of variable order via Kuratowski MNC technique
Explicit blowing up solutions for a higher order parabolic equation with Hessian Nonlinearity
Analysis of transient thermal distribution in a convective–radiative moving rod using two-dimensional differential transform method with multivariate Pade approximant
Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in …
Informatisation of educational reform based on fractional differential equations
Generalized squared remainder minimization method for solving multi-term fractional differential equations
Numerical solution of the second order linear and nonlinear integro-differential equations using Haar wavelet method
Quantum quantile mechanics: solving stochastic differential equations for generating time-series
Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
On the modified Gardner type equation and its time fractional form
Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications
Solve fractional differential equations via a hybrid method between variational iteration method and gray wolf optimization algorithm
An encyclopedia of Kudryashov’s integrability approaches applicable to optoelectronic devices
Optical soliton solutions for the coupled conformable Fokas–Lenells equation with spatio-temporal dispersion
A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations
An efficient stochastic numerical computing framework for the nonlinear higher order singular models
On some novel solution solutions to the generalized Schrödinger-Boussinesq equations for the interaction between complex short wave and real long wave …
Computational examination of Casson nanofluid due to a non-linear stretching sheet subjected to particle shape factor: Tiwari and Das model
Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative
Analysis of Time-Fractional ϕ 4 -Equation with Singular and Non-Singular Kernels
… wave solution to the time-fractional phi-four and (2+ 1) dimensional CBS equations using the modified extended tanh-function method in mathematical …
Nonlinear diffusion equation with selective source for binarization of degraded document images
Lump solutions to a (2+ 1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form
Periodic-soliton and periodic-type solutions of the (3+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation by using BNNM
The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method
Suppressing the vibration of the third-order critically damped Duffing equation
Construction of an approximate analytical solution for multi-dimensional fractional Zakharov–Kuznetsov equation via Aboodh Adomian decomposition method
Fast-diffusion limit for reaction-diffusion equations with multiplicative noise
Soliton solutions for fractional DNA Peyrard-Bishop equation via the extended-expansion method
New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method
New computational results for a prototype of an excitable system
New localized and periodic solutions to a Korteweg–de Vries equation with power law nonlinearity: applications to some plasma models
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front
Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains
Solitons dynamics in optical metamaterial with quadratic–cubic nonlinearity using modified extended direct algebraic method
An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order bvps
An analytical solution for nonlinear vibration analysis of functionally graded rectangular plate in contact with fluid
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method
Analytical behavior of the fractional Bogoyavlenskii equations with conformable derivative using two distinct reliable methods
Heat and mass transfer analysis of the peristaltic driven flow of nanofluid in an asymmetric channel
The Radhakrishnan–Kundu–Lakshmanan equation with arbitrary refractive index and its exact solutions
Taylor approximation for chance constrained optimization problems governed by partial differential equations with high-dimensional random parameters
Construction of Lump and optical solitons solutions for (3+ 1) model for the propagation of nonlinear dispersive waves in inhomogeneous media
Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative
Nonlinear vibration analysis of nanowire resonators for ultra-high resolution mass sensing
A unified Petrov–Galerkin spectral method and fast solver for distributed-order partial differential equations
A novel analytical method for solving (2+ 1)-dimensional extended Calogero-Bogoyavlenskii-Schiff equation in plasma physics
Deep neural network for system of ordinary differential equations: Vectorized algorithm and simulation
Can transfer neuroevolution tractably solve your differential equations?
A novel perspective for the fractal Schrödinger equation
On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations
Notes on the existence of entire solutions for several partial differential-difference equations
The Schrödinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel
Computational techniques to study the dynamics of generalized unstable nonlinear Schrödinger equation
Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications
… solitary wave solutions, bifurcation analysis and first order conserved quantities of resonance nonlinear Schrödinger’s equation with Kerr law nonlinearity
Cerebrospinal fluid dynamics coupled to the global circulation in holistic setting: mathematical models, numerical methods and applications
Simulation and refraction event of complex hyperbolic type solitary wave in plasma and optical fiber for the perturbed Chen-Lee-Liu equation
Dromion− like structures in a cubic− quintic nonlinear Schrödinger equation using analytical methods
Legendre wavelet method for fractional delay differential equations
Soliton interaction of a generalized nonlinear Schrödinger equation in an optical fiber
Nonlinear vibrations and time delay control of an extensible slowly rotating beam
Tukey Depths and Hamilton–Jacobi Differential Equations
An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay
Nonlinear optimization of district heating networks
Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
Neural stochastic partial differential equations
Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method
A method of solving a nonlinear boundary value problem for the Fredholm integro-differential equation
New wave behaviors and stability analysis of the Gilson–Pickering equation in plasma physics
Parameterized neural ordinary differential equations: Applications to computational physics problems
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations
Stable optical solitons for the Higher-order Non-Kerr NLSE via the modified simple equation method
A stable computational approach to analyze semi-relativistic behavior of fractional evolutionary problems
Rogue wave solutions and the bright and dark solitons of the (3+ 1)-dimensional Jimbo–Miwa equation
Numerical simulations and analysis for mathematical model of avascular tumor growth using Gompertz growth rate function
Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models
On a Fractional Parabolic Equation with Regularized Hyper-Bessel Operator and Exponential Nonlinearities
Investigation of internal dynamics of soliton with the help of traveling wave soliton solution of Hamilton amplitude equation
Integral Equation Methods for Evolutionary PDE A Convolution Quadrature Approach
Space–time Chebyshev spectral collocation method for nonlinear time-fractional Burgers equations based on efficient basis functions
Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations
Investigation of fractional order sine-Gordon equation using Laplace Adomian decomposition method
An efficient computational approach for local fractional Poisson equation in fractal media
Periodic solutions for second order totally nonlinear iterative differential equations
Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma
Construction of traveling wave solutions of the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation
Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions
Investigation of lump, soliton, periodic, kink, and rogue waves to the time-fractional phi-four and (2+ 1) dimensional CBS equations in mathematical physics
Non-analytic solutions of nonlinear wave models
Time-fractional Klein–Gordon equation with solitary/shock waves solutions
PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background
The Comparative Study for Solving Fractional-Order Fornberg–Whitham Equation via ρ-Laplace Transform
Analytical solutions to the advection-diffusion equation with Atangana-Baleanu time-fractional derivative and a concentrated loading
Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation
Resonant optical solitons with conformable time-fractional nonlinear Schrödinger equation
Entropy optimization of first-grade viscoelastic nanofluid flow over a stretching sheet by using classical Keller-box scheme
Fractional system of Korteweg-De Vries equations via Elzaki transform
Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms
An analytical solution for the nonlinear inverse cauchy problem
Introducing students to research codes: a short course on solving partial differential equations in Python
Dark and bright soliton solutions and computational modeling of nonlinear regularized long wave model
Dynamics of soliton and mixed lump-soliton waves to a generalized Bogoyavlensky-Konopelchenko equation
Nonlinear wave equations
Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method
Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel
Investigation on Ginzburg-Landau equation via a tested approach to benchmark stochastic Davis-Skodje system
Learning physically consistent differential equation models from data using group sparsity
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings
On nonlinear evolution model for drinking behavior under Caputo-Fabrizio derivative
Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation
Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach
A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method
On a Nonlinear Mixed Problem for a Parabolic Equation with a Nonlocal Condition
On the discrete symmetry analysis of some classical and fractional differential equations
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel
Numerical methods for fractional-order Fornberg-Whitham equations in the sense of Atangana-Baleanu derivative
New stochastic solutions for a new extension of nonlinear Schrödinger equation
A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods
An efficient numerical method for forward-backward stochastic differential equations driven by G-Brownian motion
Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation
On the physical nonlinear (n+ 1)-dimensional Schrödinger equation applications
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain
A thermal conductivity model for hybrid heat and mass transfer investigation of single and multi-wall carbon nano-tubes flow induced by a spinning body
The MHD Newtonian hybrid nanofluid flow and mass transfer analysis due to super-linear stretching sheet embedded in porous medium
Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques
Significance of viscous dissipation on MHD Eyring–Powell flow past a convectively heated stretching sheet
The Rank Upgrading Technique for a Harmonic Restoring Force‎ of Nonlinear Oscillators
Application of intelligent paradigm through neural networks for numerical solution of multiorder fractional differential equations
Analysis of the time fractional-order coupled burgers equations with non-singular kernel operators
Generalized stokes’ flow and radiative heat transfer model of a non-Newtonian fluid in a darcy porous medium subject to Navier’s slip conditions on the penetrable …
New visions of the soliton solutions to the modified nonlinear Schrodinger equation
Numerical simulation for entropy optimized nonlinear radiative flow of GO-Al2O3 magneto nanomaterials with auto catalysis chemical reaction
An approach to the solution of nonlinear forced vibration problem of structural systems reinforced with advanced materials in the presence of viscous damping
Linear and nonlinear effects analysis on wave profiles in optics and quantum physics
Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction
Deep learning schemes for parabolic nonlocal integro-differential equations
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation
Exact solutions of the stochastic new coupled Konno-Oono equation
Abundant analytical soliton solutions and Evolutionary behaviors of various wave profiles to the Chaffee–Infante equation with gas diffusion in a …
Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data
Some newly explored exact solitary wave solutions to nonlinear inhomogeneous Murnaghan’s rod equation of fractional order
A study of variational iteration method for solving various types of problems
Exponential decay of sensitivity in graph-structured nonlinear programs
A novel study of Morlet neural networks to solve the nonlinear HIV infection system of latently infected cells
NEW ANALYTICAL APPROACH FOR NONLINEAR FRACTAL MODEL
Dynamical behaviors and oblique resonant nonlinear waves with dual-power law nonlinearity and conformable temporal evolution
New exact solutions of the fractional complex Ginzburg–Landau equation
Specific wave structures of a fifth-order nonlinear water wave equation
Bright–dark soliton waves’ dynamics in pseudo spherical surfaces through the nonlinear Kaup–Kupershmidt equation
Entropy generation on double-diffusive MHD slip flow of nanofluid over a rotating disk with nonlinear mixed convection and Arrhenius activation energy
Diverse novel solutions for the ionic current using the microtubule equation based on two recent computational schemes
Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time
A fast insight into the nonlinear oscillation of nano-electro-mechanical resonators considering the size effect and the van der Waals force
Towards understanding the algorithms for solving the Navier–Stokes equations
Robust numerical method for singularly perturbed semilinear parabolic differential difference equations
Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation
Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations
Theoretical Analysis on Absorption of Carbon Dioxide (CO2) into Solutions of Phenyl Glycidyl Ether (PGE) Using Nonlinear Autoregressive Exogenous Neural …
D’Alembert wave and soliton molecule of the generalized Nizhnik–Novikov–Veselov equation
Study of W-shaped, V-shaped, and other type of surfaces of the ZK-BBM and GZD-BBM equations
Inverse problems for nonlinear hyperbolic equations
Higher-order algorithms for stable solutions of fractional time-dependent nonlinear telegraph equations in space
New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves
Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1: 1 internal resonance
Numerical simulation and thermal enhancement of multi-based nanofluid over an embrittled cone
Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation
A new fractal transform frequency formulation for fractal nonlinear oscillators
Design of an efficient algorithm for solution of Bratu differential equations
Novel expressions for the derivatives of sixth kind Chebyshev polynomials: spectral solution of the non-linear one-dimensional Burgers’ equation
Physics-constrained deep learning for solving seepage equation
New impressive behavior of the exact solutions to the Benjamin-Bona-Mahony-Burgers equation with dual power-law nonlinearity against its numerical …
Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system
Presence and diversity of positive solutions for a Caputo-type fractional order nonlinear differential equation with an advanced argument
Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
New nonlinear theory for a piston-type wavemaker: The classical Boussinesq equations
Optical solitons of the (2+ 1)-dimensional Biswas–Milovic equation using modified extended tanh-function method
Optical envelope patterns in nonlinear media modeled by the Lakshmanan–Porsezian–Daniel equation
Solitary waves of the generalized Sasa–Satsuma equation with arbitrary refractive index
Solving a novel designed second order nonlinear Lane–Emden delay differential model using the heuristic techniques
The integrable Boussinesq equation and it’s breather, lump and soliton solutions
Numerical solutions of time-fractional nonlinear water wave partial differential equation via Caputo fractional derivative: an effective analytical method and …
Lie symmetry analysis and invariant solutions for (2+ 1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation
An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law
PySINDy: A comprehensive Python package for robust sparse system identification
On study of modulation instability and optical soliton solutions: the chiral nonlinear Schrödinger dynamical equation
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation
Lie symmetry analysis, optimal system and invariant solutions of (3+ 1)-dimensional nonlinear wave equation in liquid with gas bubbles
Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions
Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator
Bright, dark, kink, singular and periodic soliton solutions of Lakshmanan–Porsezian–Daniel model by generalized projective Riccati equations method
Approximative policy iteration for exit time feedback control problems driven by stochastic differential equations using tensor train format
Numerical comparison of Caputo and Conformable derivatives of time fractional Burgers-Fisher equation
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
New solutions for the generalized resonant nonlinear Schrödinger equation
Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay
Neural networks-based algorithms for stochastic control and PDEs in finance
Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique
The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach
Investigations of the complex wave patterns to the generalized Calogero–Bogoyavlenskii–Schiff equation
Dynamics of D’Alembert wave and soliton molecule for a (2+ 1)-dimensional generalized breaking soliton equation
Elliptic partial differential equations from an elementary viewpoint
Overview of configuring adaptive activation functions for deep neural networks-a comparative study
Integrability, qualitative analysis and the dynamics of wave solutions for Biswas–Milovic equation
Orthonormal ultraspherical operational matrix algorithm for fractal–fractional Riccati equation with generalized Caputo derivative
Deep learning of parameterized equations with applications to uncertainty quantification
Adapting the Laplace transform to create solitary solutions for the nonlinear time-fractional dispersive PDEs via a new approach
Novel dynamics of wave solutions for Cahn–Allen and diffusive predator–prey models using MSE scheme
Dark and trigonometric soliton solutions in asymmetrical Nizhnik-Novikov-Veselov equation with (2+ 1)-dimensional
Cubic spline based differential quadrature method: A numerical approach for fractional Burger equation
D’Alembert wave and soliton molecule of the modified Nizhnik–Novikov–Veselov equation
Learning Size and Shape of Calabi-Yau Spaces
Existence and uniqueness results for initial value problem of nonlinear fractional integro-differential equation on an unbounded domain in a weighted Banach space
The deep learning Galerkin method for the general Stokes equations
Physics-informed learning of governing equations from scarce data
Finite Dimensional Dynamics of Evolutionary Equations with Maple
An MHD of nanofluid flow over a porous stretching/shrinking plate with mass transpiration and Brinkman ratio
A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model
Radiative heat transfer of second grade nanofluid flow past a porous flat surface: a single-phase mathematical model
Dynamics of aluminum oxide and copper hybrid nanofluid in nonlinear mixed Marangoni convective flow with entropy generation: Applications to renewable energy
New Exact Soliton Solutions of the ()-Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques
Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method
Learning partial differential equations in reproducing kernel hilbert spaces
New explicit solutions to the fractional-order Burgers’ equation
Discovery of nonlinear dynamical systems using a Runge–Kutta inspired dictionary-based sparse regression approach
Dynamical behaviors of nonlinear coronavirus (COVID-19) model with numerical studies
Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation
Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method
Numerical analysis of nonlinear variable fractional viscoelastic arch based on shifted Legendre polynomials
Some more invariant solutions of (2+ 1)-water waves
Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
An analytical analysis to solve the fractional differential equations
Pseudo-operational matrix method for the solution of variable-order fractional partial integro-differential equations
Variational theory and new abundant solutions to the (1+ 2)-dimensional chiral nonlinear Schrödinger equation in optics
Nonlinear PDE-based models for photon-limited image restoration
A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters
Laplace-based method for the linearized dynamical models in the presence of Hilfer fractional operator
Connections between numerical algorithms for PDEs and neural networks
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition
Model-based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects
Solitary and periodic wave solutions of (2+ 1)-dimensions of dispersive long wave equations on shallow waters
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation
Optical soliton solutions for the (1+ 1)-dimensional resonant nonlinear Schröndinger’s equation arising in optical fibers
Validated numerical approximation of stable manifolds for parabolic partial differential equations
Fractal Fractional Derivative Operator Method on MCF-7 Cell Line Dynamics
Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives
Sub pico-second Soliton with Triki–Biswas equation by the extended (G′ G2)-expansion method and the modified auxiliary equation method
Novel deep neural networks for solving bayesian statistical inverse
Uniform convergence guarantees for the deep Ritz method for nonlinear problems
New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation
Numerical investigation of MHD radiative heat and mass transfer of nanofluid flow towards a vertical wavy surface with viscous dissipation and Joule heating effects …
Numerical simulation of the fractal-fractional reaction diffusion equations with general nonlinear
Non-linear convective flow of the thin film nanofluid over an inclined stretching surface
Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm
New soliton solutions of Heisenberg ferromagnetic spin chain model
On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space
Numerical method of the line for solving one dimensional initial-boundary singularly perturbed Burger equation
On the role of bioconvection and activation energy for time dependent nanofluid slip transpiration due to extending domain in the presence of electric and …
Weak SINDy for partial differential equations
Magnetized nanofluid flow of ferromagnetic nanoparticles from parallel stretchable rotating disk with variable viscosity and thermal conductivity
Nematicons in liquid crystals with Kerr Law by sub-equation method
Improved partial differential equation-based total variation approach to non-subsampled contourlet transform for medical image denoising
New similarity variable to transform the fluid flow from PDEs into fractional-order ODEs: Numerical study
Structural identification with physics-informed neural ordinary differential equations
Abundant solitary wave solutions of the Chen–Lee–Liu equation via a novel analytical technique
Gyrotactic micro-organism flow of Maxwell nanofluid between two parallel plates
Novel techniques for a verified simulation of fractional-order differential equations
Insight into the dynamics of time-dependent cross nanofluid on a melting surface subject to cubic autocatalysis
Lump, rogue wave, multi-waves and Homoclinic breather solutions for (2+ 1)-Modified Veronese Web equation
Numerical simulation of band propagation in nonlinear chromatography
Image denoising by nonlinear nonlocal diffusion equations
The fractional comparative study of the non-linear directional couplers in non-linear optics
Investigations of non-linear induction motor model using the Gudermannian neural networks
Entropy generation applications in flow of viscoelastic nanofluid past a lubricated disk in presence of nonlinear thermal radiation and Joule heating
A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems
Singularly perturbed methods for nonlinear elliptic problems
Model of propagation pulses in an optical fiber with a new law of refractive indices
Study of Heat and Mass Transfer in MHD Flow of Sutterby Nanofluid over a Curved Stretching Sheet with Magnetic Dipole and Effect
Gevrey index theorem for the inhomogeneous n-dimensional heat equation with a power-law nonlinearity and variable coefficients
Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs
On the approximate solutions for a system of coupled Korteweg–de Vries equations with local fractional derivative
Analysis of third-order nonlinear multi-singular Emden–Fowler equation by using the LeNN-WOA-NM algorithm
An efficient local meshless approach for solving nonlinear time-fractional fourth-order diffusion model
Thermal features and heat transfer enhancement of a casson fluid across a porous stretching/shrinking sheet: analysis of dual solutions
Soliton solutions to the Fokas system arising in monomode optical fibers
Exact solutions of (2+ 1)-Ablowitz-Kaup-Newell-Segur equation
EGA for a convective regime over a vertical cylinder stretching linearly
Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and control
Significance of Coriolis force on Eyring-Powell flow over a rotating non-uniform surface
A new financial chaotic model in Atangana-Baleanu stochastic fractional differential equations
Brownian motion and thermophoretic effects on non-Newtonian nanofluid flow via Crank–Nicolson scheme
An existence of an isolated solution to nonlinear two-point boundary value problem with parameter
Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid
Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically
Hilfer-Hadamard fractional differential equations; Existence and attractivity
A binary Darboux transformation for multicomponent NLS equations and their reductions
Solitary and periodic wave solutions of the generalized fourth-order Boussinesq equation via He’s variational methods
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems
Entropy optimization and heat transfer analysis in MHD Williamson nanofluid flow over a vertical Riga plate with nonlinear thermal radiation
A semi-analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers
Two-dimensional nonlinear time fractional reaction–diffusion equation in application to sub-diffusion process of the multicomponent fluid in porous media
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation
Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana’s-conformable derivative using sub-equation method
Numerical analysis of higher order chemical reaction on electrically MHD nanofluid under influence of viscous dissipation
Unsteady radiative slip flow of MHD Casson fluid over a permeable stretched surface subject to a non-uniform heat source
Solving and learning nonlinear PDEs with Gaussian processes
Effects of nonlinear thermal radiation over magnetized stagnation point flow of Williamson fluid in porous media driven by stretching sheet
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (G′ G)-Expansion Method
Hierarchical deep learning of multiscale differential equation time-steppers
Determining a nonlinear hyperbolic system with unknown sources and nonlinearity
New solitary wave and other exact solutions of the van der Waals normal form for granular materials
Numerical computation of buoyancy and radiation effects on MHD micropolar nanofluid flow over a stretching/shrinking sheet with heat source
A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type
Neuro-evolution computing for nonlinear multi-singular system of third order Emden–Fowler equation
An efficient computational technique for time-fractional Kaup-Kupershmidt equation
Superabundant novel solutions of the long waves mathematical modeling in shallow water with power-law nonlinearity in ocean beaches via three recent analytical …
Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine-Gordon equation
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
Mathematical modeling of bio-magnetic fluid bounded within ciliated walls of wavy channel
New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution
A space-time discretization of a nonlinear peridynamic model on a 2D lamina
Fully petrov–galerkin spectral method for the distributed-order time-fractional fourth-order partial differential equation
Non-linear vibration and instability of multi-phase composite plate subjected to non-uniform in-plane parametric excitation: Semi-analytical investigation
N-soliton solution of a combined pKP–BKP equation
Nonlinear Young differential equations: a review
Analysis of the physical behavior of the periodic mixed-convection flow around a nonconducting horizontal circular cylinder embedded in a porous Medium
On the approximate solution of fractional-order Whitham–Broer–Kaup equations
Analysing regular nonlinear vibrations of nano/micro plates based on the nonlocal theory and combination of reduced order modelling and multiple scale method
The exact solutions of the stochastic Ginzburg–Landau equation
Applications of modified Darcy law and nonlinear thermal radiation in bioconvection flow of micropolar nanofluid over an off centered rotating disk
Application of Euler neural networks with soft computing paradigm to solve nonlinear problems arising in heat transfer
Investigation of new solutions for an extended (2+ 1)-dimensional Calogero-Bogoyavlenskii-Schif equation
Convective heat transfer of a hybrid nanofluid over a nonlinearly stretching surface with radiation effect
On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition
Exploring the magnetohydrodynamic stretched flow of Williamson Maxwell nanofluid through porous matrix over a permeated sheet with bioconvection and …
Non-similar mixed convection analysis for magnetic flow of second-grade nanofluid over a vertically stretching sheet
A comparative study of three dimensional flow of Casson–Williamson nanofluids past a riga plate: Spectral quasi-linearization approach
Symbolic computation of Caudrey–Dodd–Gibbon equation subject to periodic trigonometric and hyperbolic symmetries
Soliton solutions to the B-type Kadomtsev–Petviashvili equation under general dispersion relations
Studying on kudryashov-sinelshchikov dynamical equation arising in mixtures liquid and gas bubbles
An efficient approach for solution of fractional-order Helmholtz equations
Nonlinear thermal radiation and activation energy features in axisymmetric rotational stagnation point flow of hybrid nanofluid
A novel RBF-based meshless method for solving time-fractional transport equations in 2D and 3D arbitrary domains
W-shape bright and several other solutions to the (3+ 1)-dimensional nonlinear evolution equations
A hybrid interpolation method for fractional pdes and its applications to fractional diffusion and buckmaster equations
Investigation of optical solitons and modulation instability analysis to the Kundu–Mukherjee–Naskar model
Framing the out-turn of melting heat transport on CNT-engine oil flow adopting Natural Decomposition Method
An efficient tool for solving two-dimensional fuzzy fractional-ordered heat equation
Mixed-Type Discontinuous Galerkin Approach for Solving the Generalized FitzHugh–Nagumo Reaction–Diffusion Model
Slip effects on MHD squeezing flow of Jeffrey nanofluid in horizontal channel with chemical reaction
Highly dispersive Optical solitons to the generalized third-order nonlinear Schrödinger dynamical equation with applications
An investigation to the nonlinear (2+ 1)-dimensional soliton equation for discovering explicit and periodic wave solutions
Implications of bioconvection and activation energy on Reiner–Rivlin nanofluid transportation over a disk in rotation with partial slip
A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems
Numerical solution and dynamical behaviors for solving fractional nonlinear Rubella ailment disease model
Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense
A generalized (2+ 1)-dimensional Calogaro–Bogoyavlenskii–Schiff equation: symbolic computation, symmetry reductions, exact solutions, conservation laws
… analysis, closed-form invariant solutions and dynamical wave structures of the generalized (3+ 1)-dimensional breaking soliton equation using optimal system …
Nonlinear dynamics of heterogeneous shells Part 1. Statics and dynamics of heterogeneous variable stiffness shells
Numerical study for bio-convection flow of tangent hyperbolic nanofluid over a Riga plate with activation energy
Optimal control of robotic systems using finite elements for time integration of covariant control equations
Solar radiation effects on MHD stagnation point flow and heat transfer of a nanofluid over a stretching sheet
Soft computing paradigm for Ferrofluid by exponentially stretched surface in the presence of magnetic dipole and heat transfer
Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation
Physics informed deep learning for flow and transport in porous media
Heat transfer in steady slip flow of tangent hyperbolic fluid over the lubricated surface of a stretchable rotatory disk
Insight into significance of bioconvection on mhd tangent hyperbolic nanofluid flow of irregular thickness across a slender elastic surface
Two spectral Legendre’s derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems
Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
Hybrid nanofluid flow around a triangular-shaped obstacle inside a split lid-driven trapezoidal cavity
Solitary dynamics of longitudinal wave equation arises in magneto-electro-elastic circular rod
A Combination of the orthogonal polynomials with least–squares method for solving high-orders Fredholm-Volterra integro-differential equations
The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method
Semi-analytical solutions of the 3rd order fuzzy dispersive partial differential equations under fractional operators
Optimization free neural network approach for solving ordinary and partial differential equations
Numerical solutions of the fractal foam drainage equation
Towards optimally weighted physics-informed neural networks in ocean modelling
NTMpy: An open source package for solving coupled parabolic differential equations in the framework of the three-temperature model
Nonlinear mixed convective flow over a moving yawed cylinder driven by buoyancy
Randomised one-step time integration methods for deterministic operator differential equations
Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index
A stochastic numerical analysis based on hybrid NAR-RBFs networks nonlinear SITR model for novel COVID-19 dynamics
numerical-solution-for-nonlinear-klein–gordon equation via operational-matrix by clique polynomial of complete graphs
Nonlinear optimization generating the Tomb Mural Blocks by GANS
Mixed convection flow along a curved surface in the presence of exothermic catalytic chemical reaction
Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL
Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN
Some new generalizations of F-contraction type mappings that weaken certain conditions on Caputo fractional type differential equations
Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions
Discussions on diffraction and the dispersion for traveling wave solutions of the (2+ 1)-dimensional paraxial wave equation
Soliton solutions of the nonlinear sine-Gordon model with Neumann boundary conditions arising in crystal dislocation theory
Type (− λ,− λ∗) reduced nonlocal integrable mKdV equations and their soliton solutions
Global Stabilization of Compressible Flow Between Two Moving Pistons
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion
Computational and approximate solutions of complex nonlinear Fokas–Lenells equation arising in optical fiber
A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation
Novel solitary waves for fractional (2+ 1)-dimensional Heisenberg ferromagnetic model via new extendedgeneralized Kudryashov method
Variational principle, solitary and periodic wave solutions of the fractal modified equal width equation in plasma physics
Choose a transformer: Fourier or galerkin
Direct algebraic method for solving fractional Fokas equation
A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation
Solitary wave solutions of mKdV–Calogero–Bogoyavlenskii–Schiff equation by using Lie symmetry analysis
Investigation of Hirota equation: Modified double Laplace decomposition method
Coriolis effects on MHD newtonian flow over a rotating non-uniform surface
… wave, rogue wave, multi-kink solitary wave and interaction solutions in a (3+ 1)-dimensional Kadomtsev-Petviashvili equation with Bäcklund transformation
Traffic reaction model
On the stability of stationary solutions in diffusion models of oncological processes
An entropy optimization study of non-Darcian magnetohydrodynamic Williamson nanofluid with nonlinear thermal radiation over a stratified sheet
Physics informed neural networks (PINNs) for approximating nonlinear dispersive PDEs
Integrated intelligent computing paradigm for nonlinear multi-singular third-order Emden–Fowler equation
Probabilistic ODE solutions in millions of dimensions
Some optical soliton solutions of space-time conformable fractional Schrödinger-type models
On solutions of fractional-order gas dynamics equation by effective techniques
Finite element analysis of unsteady MHD Blasius and Sakiadis flow with radiation and thermal convection using Cattaneo-Christov heat flux model
Solving First Order Ordinary Differential Equations using Least Square Method: A comparative study
Analytical wave solutions of the (2+ 1)-dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods
Effects of fractional order derivative on the solution of time-fractional Cahn–Hilliard equation arising in digital image inpainting
Propagation of dust-acoustic nonlinear waves in a superthermal collisional magnetized dusty plasma
… transformation, Lax pair and interactions of nonlinear waves for a generalized (2+ 1)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma …
An inverse problem for non-linear fractional magnetic schrodinger equation
Optical bidirectional wave-solutions to new two-mode extension of the coupled KdV–Schrodinger equations
Insight into the dynamics of Oldroyd-B fluid over an upper horizontal surface of a paraboloid of revolution subject to chemical reaction dependent on the first-order …
Physics-informed neural networks for solving Reynolds-averaged Navier–Stokes equations
Weak Harnack inequalities for eigenvalues and constant rank theorems
On the representation of solutions to elliptic pdes in barron spaces
A novel design of morlet wavelet to solve the dynamics of nervous stomach nonlinear model
Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
Darcy-Forchheimer flow of dusty tangent hyperbolic fluid over a stretching sheet with Cattaneo-Christov heat flux
Blood based hybrid nanofluid flow together with electromagnetic field and couple stresses
Darcy-forchheimer hybrid nano fluid flow with mixed convection past an inclined cylinder
Influence of Soret and Dufour effects on mixed convection flow over a vertical cone with injection/suction effects
Parametric analysis of the heat transfer behavior of the nano-particle ionic-liquid flow between concentric cylinders
Impact of stratification phenomena on a nonlinear radiative flow of sutterby nanofluid
Numerical simulation for the mixed convective flow of non-Newtonian fluid with activation energy and entropy generation
Stability of fractional differential equations with new generalized hattaf fractional derivative
Numerical methods for partial differential equations
Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves
On heated surface transport of heat bearing thermal radiation and MHD Cross flow with effects of nonuniform heat sink/source and buoyancy opposing/assisting flow
Quadratic residual networks: A new class of neural networks for solving forward and inverse problems in physics involving pdes
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type
Some solutions for a stochastic NLSE in the unstable and higher order dispersive environments
Conservation laws, optical molecules, modulation instability and Painlevé analysis for the Chen–Lee–Liu model
On Solvability of a Poincare–Tricomi Type Problem for an Elliptic–Hyperbolic Equation of the Second Kind
Thermal transport analysis in stagnation-point flow of Casson nanofluid over a shrinking surface with viscous dissipation
Hermite multiwavelets representation for the sparse solution of nonlinear Abel’s integral equation
Boundary value problem for a quasilinear elliptic equation with two perpendicular line of degeneration
Numerical solutions of time fractional Zakharov-Kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives
Numerical study of the nonlinear anomalous reaction–subdiffusion process arising in the electroanalytical chemistry
Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media
Suction and Injection Impacts on Casson Nanofluid With Gyrotactic Micro-Organisms Over a Moving Wedge
On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and …
Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment
An operational matrix based on the Independence polynomial of a complete bipartite graph for the Caputo fractional derivative
Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model
The inviscid limit of third-order linear and nonlinear acoustic equations
Compactness of nonlinear integral operators with discontinuous and with singular kernels
Jacobi collocation method for the fractional advection-dispersion equation arising in porous media
Periodic solution of the time-space fractional complex nonlinear Fokas-Lenells equation by an ancient Chinese algorithm
Knowledge-based learning of nonlinear dynamics and chaos
Dynamics of hybrid nanofluid through a semi spherical porous fin with internal heat generation
Invariance Analysis, Exact Solution and Conservation Laws of (2+ 1) Dim Fractional Kadomtsev-Petviashvili (KP) System
Some dynamical models involving fractional-order derivatives with the Mittag-Leffler type kernels and their applications based upon the Legendre spectral collocation …
Analysis of a nonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases
Novel solitary and shock wave solutions for the generalized variable-coefficients (2+ 1)-dimensional KP-Burger equation arising in dusty plasma
Numerical investigation on unsteady MHD convective rotating flow past an infinite vertical moving porous surface
UNIQUE SOLVABILITY OF THE BOUNDARY-VALUE PROBLEMS FOR NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Soliton, breather, and rogue wave solutions for solving the nonlinear Schrödinger equation using a deep learning method with physical constraints
Micropolar fluid past a convectively heated surface embedded with nth order chemical reaction and heat source/sink
Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet
A granular recurrent neural network for multiple time series prediction
Physics-informed graph neural Galerkin networks: A unified framework for solving PDE-governed forward and inverse problems
On the stability, integrability and boundedness analyses of systems of integro-differential equations with time-delay retardation
Variational principle and approximate solution for the fractal generalized Benjamin–Bona–Mahony–Burgers equation in fluid mechanics
Thermal analysis of a radiative slip flow of an unsteady casson nanofluid toward a stretching surface subject to the convective condition
A unique solution of the iterative boundary value problem for a second-order differential equation approached by fixed point results
Hybrid impact of thermal and concentration convection on peristaltic pumping of Prandtl nanofluids in non-uniform inclined channel and magnetic field
On the nondifferentiable exact solutions to Schamel’s equation with local fractional derivative on Cantor sets
Dynamics of lump collision phenomena to the (3+ 1)-dimensional nonlinear evolution equation
New numerical scheme with Newton polynomial: theory, methods, and applications
Bioconvection in a convectional nanofluid flow containing gyrotactic microorganisms over an isothermal vertical cone embedded in a porous surface with chemical …
Unconditionally optimal error estimates of BDF2 Galerkin method for semilinear parabolic equation
Numerical solving of the generalized Black-Scholes differential equation using Laguerre neural network
On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation
A comparative analysis of the fractional-order coupled Korteweg–De Vries equations with the Mittag–Leffler law
Oceanic studies via a variable-coefficient nonlinear dispersive-wave system in the Solar System
Complete solution for the time fractional diffusion problem with mixed boundary conditions by operational method
Significant involvement of double diffusion theories on viscoelastic fluid comprising variable thermophysical properties
Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
Gudermannian neural networks using the optimization procedures of genetic algorithm and active set approach for the three-species food chain nonlinear …
A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers’ partial differential equation
Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation
Generic differential equations are strongly minimal
Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities
Sensitive visualization of the fractional Wazwaz-Benjamin-Bona-Mahony equation with fractional derivatives: A comparative analysis
Wave behaviors of Kundu–Mukherjee–Naskar model arising in optical fiber communication systems with complex structure
Three-dimensional water-based magneto-hydrodynamic rotating nanofluid flow over a linear extending sheet and heat transport analysis: A numerical approach
Nonlocal symmetries and new interaction waves of the variable-coefficient modified Korteweg–de Vries equation in fluid-filled elastic tubes
Abundant novel wave solutions of nonlinear Klein–Gordon–Zakharov (KGZ) model
A Maxwell’s equations based deep learning method for time domain electromagnetic simulations
Compact implicit difference approximation for time-fractional diffusion-wave equation
Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation
Summability of formal solutions for some generalized moment partial differential equations
Global existence and decay estimates of energy of solutions for a new class of-Laplacian heat equations with logarithmic nonlinearity
Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrödinger equation
Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations
Double Mahgoub transform for the solution of parabolic boundary value problems
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections
Fractional residual series for conformable time-fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order
Thermal charactristics for the flow of Williamson hybrid nanofluid (MoS2+ ZnO) based with engine oil over a streched sheet
Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation
Arbitrary Global Lie Group Actions on Generalised Solutions of Nonlinear PDEs and an Answer to Hilbert’s Fifth Problem
A brief review of numerical methods for heat and mass transfer of Casson fluids
Heat transport investigation of hybrid nanofluid (Ag-CuO) porous medium flow: Under magnetic field and Rosseland radiation
A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime
Variational system identification of the partial differential equations governing microstructure evolution in materials: Inference over sparse and spatially unrelated data
Lie symmetry analysis of a stochastic gene evolution in double-chain deoxyribonucleic acid system
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method
Mathematics of wave propagation
Regularization of the backward solution of parabolic problems

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