Mahmoud A. Zaky
Orcid: 0000-0002-3376-7238
According to our database1,
Mahmoud A. Zaky
authored at least 37 papers
between 2015 and 2024.
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Bibliography
2024
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains.
Math. Comput. Simul., February, 2024
A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions.
Numer. Algorithms, January, 2024
2023
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian.
Math. Comput. Simul., April, 2023
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions.
Commun. Nonlinear Sci. Numer. Simul., April, 2023
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay.
J. Comput. Appl. Math., 2023
Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel.
J. Comput. Appl. Math., 2023
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations.
CoRR, 2023
2022
Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations.
Numer. Algorithms, 2022
A note on a class of Caputo fractional differential equations with respect to another function.
Math. Comput. Simul., 2022
An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function.
Math. Comput. Simul., 2022
Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations.
Math. Comput. Simul., 2022
On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations.
J. Comput. Appl. Math., 2022
Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations.
Eng. Comput., 2022
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel.
CoRR, 2022
A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system.
Commun. Nonlinear Sci. Numer. Simul., 2022
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay.
Commun. Nonlinear Sci. Numer. Simul., 2022
2021
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings.
Math. Comput. Simul., 2021
A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions.
Math. Comput. Simul., 2021
Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative.
J. Comput. Appl. Math., 2021
Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations.
Int. J. Comput. Math., 2021
A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions.
Eng. Comput., 2021
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?
Commun. Nonlinear Sci. Numer. Simul., 2021
Comput. Appl. Math., 2021
2020
A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions.
Numer. Algorithms, 2020
Semi-implicit Galerkin-Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion-Reaction Equations with Smooth and Nonsmooth Solutions.
J. Sci. Comput., 2020
High-order continuous Galerkin methods for multi-dimensional advection-reaction-diffusion problems.
Eng. Comput., 2020
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations.
Comput. Math. Appl., 2020
2019
Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions.
J. Comput. Appl. Math., 2019
On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems.
Comput. Appl. Math., 2019
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations.
Comput. Appl. Math., 2019
2018
New Recursive Approximations for variable-order fractional operators with Applications.
Math. Model. Anal., 2018
An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid.
Comput. Math. Appl., 2018
2017
Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation.
J. Optim. Theory Appl., 2017
On the formulation and numerical simulation of distributed-order fractional optimal control problems.
Commun. Nonlinear Sci. Numer. Simul., 2017
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations.
Comput. Math. Appl., 2017
2016
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation.
Numer. Algorithms, 2016
2015
A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations.
J. Comput. Phys., 2015