Mahmoud A. Zaky

Orcid: 0000-0002-3376-7238

According to our database1, Mahmoud A. Zaky authored at least 46 papers between 2015 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

Timeline

2016
2018
2020
2022
2024
0
1
2
3
4
5
6
7
8
9
10
4
7
5
9
7
4
3
2
3
1
1

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

Online presence:

On csauthors.net:

Bibliography

2025
Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel.
Numer. Algorithms, February, 2025

On a computational paradigm for a class of fractional order direct and inverse problems in terms of physics-informed neural networks with the attention mechanism.
J. Comput. Sci., 2025

Learning primal-dual approach for space-dependent diffusion coefficient identification in fractional diffusion equations.
J. Comput. Phys., 2025

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation.
Commun. Nonlinear Sci. Numer. Simul., 2025

2024
An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions.
Numer. Algorithms, November, 2024

Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations.
Comput. Appl. Math., October, 2024

Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations.
J. Sci. Comput., May, 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

A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting.
Comput. Math. Appl., 2024

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation.
Comput. Math. Appl., 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

Computational aspects of fractional Romanovski-Bessel functions.
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


  Loading...