Mahmoud A. Zaky

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 38

Top Topics

Nonlinear Systems

Diffusion Equation

Numerical Scheme

Fractional Order

Top Venues

Math. Comput. Simul.

Commun. Nonlinear Sci. Numer. Simul.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

R. Wang, L. Qiao, Mahmoud A. Zaky, Ahmed S. Hendy
A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions. Numer. Algorithms 95 (1) (2024)
Xiangyi Peng, Wenlin Qiu, Ahmed S. Hendy, Mahmoud A. Zaky
Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations. J. Sci. Comput. 99 (2) (2024)
Abdessamad Oulmelk, Lekbir Afraites, Aissam Hadri, Mahmoud A. Zaky, Ahmed S. Hendy
Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. Comput. Math. Appl. 156 (2024)
Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. Math. Comput. Simul. 216 (2024)
Mahmoud A. Zaky, Karel Van Bockstal, T. R. Taha, Durvudkhan Suragan, Ahmed S. Hendy
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay. J. Comput. Appl. Math. 420 (2023)
Mojtaba Fardi, Mahmoud A. Zaky, Ahmed S. Hendy
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian. Math. Comput. Simul. 206 (2023)
N. A. Elkot, Eid H. Doha, Ibrahem G. Ameen, Ahmed S. Hendy, Mahmoud A. Zaky
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations. CoRR (2023)
Yang Cao, Mahmoud A. Zaky, Ahmed S. Hendy, Wenlin Qiu
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. 431 (2023)
Ahmed S. Hendy, Mahmoud A. Zaky, Durvudkhan Suragan
Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations. Math. Comput. Simul. 193 (2022)
Mahmoud A. Zaky, Ahmed S. Hendy, Durvudkhan Suragan
A note on a class of Caputo fractional differential equations with respect to another function. Math. Comput. Simul. 196 (2022)
Abdelrahim K. Omran, Mahmoud A. Zaky, Ahmed S. Hendy, Vladimir G. Pimenov
An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function. Math. Comput. Simul. 200 (2022)
Ahmed S. Hendy, Mahmoud A. Zaky
A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system. Commun. Nonlinear Sci. Numer. Simul. 109 (2022)
Ahmed S. Hendy, Mahmoud A. Zaky
Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations. Eng. Comput. 38 (2) (2022)
Ahmed S. Hendy, Mahmoud A. Zaky, Jorge Eduardo Macías-Díaz
On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations. J. Comput. Appl. Math. 400 (2022)
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. Commun. Nonlinear Sci. Numer. Simul. 115 (2022)
Mahmoud A. Zaky, Howayda Abo-Gabal, Ramy M. Hafez, Eid H. Doha
Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. Numer. Algorithms 89 (4) (2022)
Hao Chen, Mahmoud A. Zaky, Ahmed S. Hendy, Wenlin Qiu
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel. CoRR (2022)
Mahmoud A. Zaky, Ibrahem G. Ameen
A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions. Eng. Comput. 37 (4) (2021)
Ahmed S. Hendy, Mahmoud A. Zaky, Mostafa Abbaszadeh
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. Math. Comput. Simul. 190 (2021)
Howayda Abo-Gabal, Mahmoud A. Zaky, Ahmed S. Hendy, Eid H. Doha
Computational aspects of fractional Romanovski-Bessel functions. Comput. Appl. Math. 40 (4) (2021)
Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, Vladimir G. Pimenov
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? Commun. Nonlinear Sci. Numer. Simul. 96 (2021)
Mahmoud A. Zaky, Ahmed S. Hendy
Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations. Int. J. Comput. Math. 98 (7) (2021)
Ibrahem G. Ameen, Mahmoud A. Zaky, Eid H. Doha
Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative. J. Comput. Appl. Math. 392 (2021)
Ramy M. Hafez, Mahmoud A. Zaky, Ahmed S. Hendy
A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions. Math. Comput. Simul. 190 (2021)
Ramy M. Hafez, Mahmoud A. Zaky
High-order continuous Galerkin methods for multi-dimensional advection-reaction-diffusion problems. Eng. Comput. 36 (4) (2020)
Mahmoud A. Zaky, Ahmed S. Hendy, Jorge Eduardo Macías-Díaz
Semi-implicit Galerkin-Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion-Reaction Equations with Smooth and Nonsmooth Solutions. J. Sci. Comput. 82 (1) (2020)
Mahmoud A. Zaky, Ibrahem G. Ameen
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 84 (1) (2020)
Mahmoud A. Zaky, J. Tenreiro Machado
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Comput. Math. Appl. 79 (2) (2020)
Mohamed A. Abdelkawy, António M. Lopes, Mahmoud A. Zaky
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. Comput. Appl. Math. 38 (2) (2019)
Mahmoud A. Zaky, Ibrahem G. Ameen
On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems. Comput. Appl. Math. 38 (3) (2019)
Mahmoud A. Zaky
Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions. J. Comput. Appl. Math. 357 (2019)
Mahmoud A. Zaky, Eid H. Doha, Taha M. Taha, Dumitru Baleanu
New Recursive Approximations for variable-order fractional operators with Applications. Math. Model. Anal. 23 (2) (2018)
Mahmoud A. Zaky
An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid. Comput. Math. Appl. 75 (7) (2018)
Ali H. Bhrawy, Mahmoud A. Zaky
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. Comput. Math. Appl. 73 (6) (2017)
Mahmoud A. Zaky, J. A. Tenreiro Machado
On the formulation and numerical simulation of distributed-order fractional optimal control problems. Commun. Nonlinear Sci. Numer. Simul. 52 (2017)
Ali H. Bhrawy, Mahmoud A. Zaky, José António Tenreiro Machado
Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation. J. Optim. Theory Appl. 174 (1) (2017)
Ali H. Bhrawy, Mahmoud A. Zaky, Robert A. Van Gorder
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Numer. Algorithms 71 (1) (2016)
Ali H. Bhrawy, Mahmoud A. Zaky
A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. J. Comput. Phys. 281 (2015)