Mahmoud A. Zaky

54 papers Journal 54
YearRankTypeTitle / Venue / Authors
2026 J jnl
A new adaptive spectral collocation method for tempered fractional differential equations with initial singularities.
Comput. Appl. Math.
Mahmoud A. Zaky, Eid H. Doha
2025 J jnl
A Stochastic Framework for Saint-Venant Torsion in Spherical Shells: Monte Carlo Implementation of the Feynman-Kac Approach.
Symmetry
Behrouz Parsa Moghaddam, Mahmoud A. Zaky, Alireza Sedaghat, Alexandra Galhano
2025 J jnl
A fractional spectral Galerkin method for fuzzy Volterra integral equations with weakly singular kernels: Regularity, convergence, and applications.
Fuzzy Sets Syst.
Younes Talaei, Mahmoud A. Zaky, Ahmed S. Hendy
2025 J jnl
Improved spectral method for the nonsmooth solutions of nonlinear fractional differential equations.
J. Appl. Math. Comput.
Mahmoud A. Zaky, Omar Abu Arqub
2025 J jnl
Learning primal-dual approach for space-dependent diffusion coefficient identification in fractional diffusion equations.
J. Comput. Phys.
Mohammed Srati, Abdessamad Oulmelk, Lekbir Afraites, Aissam Hadri, Mahmoud A. Zaky, Ahmed S. Hendy
2025 J jnl
Mapped Legendre-spectral method for high-dimensional multi-term time-fractional diffusion-wave equation with non-smooth solution.
Comput. Appl. Math.
H. Moussa, M. A. Saker, Mahmoud A. Zaky, M. Babatin, Samer S. Ezz-Eldien
2025 J jnl
Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation.
Commun. Nonlinear Sci. Numer. Simul.
Abdessamad Oulmelk, Lekbir Afraites, Aissam Hadri, Mahmoud A. Zaky, Ahmed S. Hendy, Xiangcheng Zheng, Hong Wang
2025 J jnl
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.
Mohammed Srati, Abdessamad Oulmelk, Lekbir Afraites, Aissam Hadri, Mahmoud A. Zaky, Ahmed S. Hendy
2025 J jnl
Reconstruction of a potential parameter in subdiffusion via a Kohn-Vogelius type functional: Theory and computation.
CoRR
Hamza Kahlaoui, Mourad Hrizi, Abdessamad Oulmelk, Xiangcheng Zheng, Mahmoud A. Zaky, Ahmed S. Hendy
2025 J jnl
Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel.
Numer. Algorithms
Hao Chen, Mahmoud A. Zaky, Xiangcheng Zheng, Ahmed S. Hendy, Wenlin Qiu
2025 J jnl
Two high-order numerical schemes based on the Lagrange polynomials for solving a distributed-order time-fractional partial integro-differential equation on non-rectangular domains.
J. Appl. Math. Comput.
Amin Ghoreyshi, Mostafa Abbaszadeh, Mahmoud A. Zaky, Mehdi Dehghan
2025 J jnl
Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel.
Appl. Math. Comput.
Mostafa Abbaszadeh, Mahmoud A. Zaky, Mehdi Dehghan
2024 J jnl
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting.
Comput. Math. Appl.
Julius Fergy T. Rabago, Aissam Hadri, Lekbir Afraites, Ahmed S. Hendy, Mahmoud A. Zaky
2024 J jnl
A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions.
Numer. Algorithms
R. Wang, L. Qiao, Mahmoud A. Zaky, Ahmed S. Hendy
2024 J jnl
Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation.
Comput. Math. Appl.
Abdessamad Oulmelk, Lekbir Afraites, Aissam Hadri, Mahmoud A. Zaky, Ahmed S. Hendy
2024 J jnl
An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions.
Numer. Algorithms
Younes Talaei, Mahmoud A. Zaky, Ahmed S. Hendy
2024 J jnl
Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations.
Comput. Appl. Math.
Marwa Gamal, Mahmoud A. Zaky, Mamdouh El-Kady, Mohamed Abdelhakem
2024 J jnl
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains.
Math. Comput. Simul.
Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
2024 J jnl
Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations.
J. Sci. Comput.
Xiangyi Peng, Wenlin Qiu, Ahmed S. Hendy, Mahmoud A. Zaky
2023 J jnl
A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions.
Commun. Nonlinear Sci. Numer. Simul.
N. A. Elkot, Eid H. Doha, Ibrahem G. Ameen, Ahmed S. Hendy, Mahmoud A. Zaky
2023 J jnl
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay.
J. Comput. Appl. Math.
Mahmoud A. Zaky, Karel Van Bockstal, Thiab R. Taha, Durvudkhan Suragan, Ahmed S. Hendy
2023 J jnl
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian.
Math. Comput. Simul.
Mojtaba Fardi, Mahmoud A. Zaky, Ahmed S. Hendy
2023 J jnl
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations.
CoRR
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
2023 J jnl
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.
Yang Cao, Mahmoud A. Zaky, Ahmed S. Hendy, Wenlin Qiu
2022 J jnl
A note on a class of Caputo fractional differential equations with respect to another function.
Math. Comput. Simul.
Mahmoud A. Zaky, Ahmed S. Hendy, Durvudkhan Suragan
2022 J jnl
A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system.
Commun. Nonlinear Sci. Numer. Simul.
Ahmed S. Hendy, Mahmoud A. Zaky
2022 J jnl
A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel.
CoRR
Hao Chen, Mahmoud A. Zaky, Ahmed S. Hendy, Wenlin Qiu
2022 J jnl
An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function.
Math. Comput. Simul.
Abdelrahim K. Omran, Mahmoud A. Zaky, Ahmed S. Hendy, Vladimir G. Pimenov
2022 J jnl
Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations.
Numer. Algorithms
Mahmoud A. Zaky, Howayda Abo-Gabal, Ramy M. Hafez, Eid H. Doha
2022 J jnl
Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations.
Math. Comput. Simul.
Ahmed S. Hendy, Mahmoud A. Zaky, Durvudkhan Suragan
2022 J jnl
Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations.
Eng. Comput.
Ahmed S. Hendy, Mahmoud A. Zaky
2022 J jnl
On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations.
J. Comput. Appl. Math.
Ahmed S. Hendy, Mahmoud A. Zaky, Jorge Eduardo Macías-Díaz
2022 J jnl
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay.
Commun. Nonlinear Sci. Numer. Simul.
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
2021 J jnl
A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions.
Eng. Comput.
Mahmoud A. Zaky, Ibrahem G. Ameen
2021 J jnl
A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions.
Math. Comput. Simul.
Ramy M. Hafez, Mahmoud A. Zaky, Ahmed S. Hendy
2021 J jnl
Computational aspects of fractional Romanovski-Bessel functions.
Comput. Appl. Math.
Howayda Abo-Gabal, Mahmoud A. Zaky, Ahmed S. Hendy, Eid H. Doha
2021 J jnl
Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations.
Int. J. Comput. Math.
Mahmoud A. Zaky, Ahmed S. Hendy
2021 J jnl
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings.
Math. Comput. Simul.
Ahmed S. Hendy, Mahmoud A. Zaky, Mostafa Abbaszadeh
2021 J jnl
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?
Commun. Nonlinear Sci. Numer. Simul.
Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, Vladimir G. Pimenov
2021 J jnl
Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative.
J. Comput. Appl. Math.
Ibrahem G. Ameen, Mahmoud A. Zaky, Eid H. Doha
2020 J jnl
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
Mahmoud A. Zaky, Ibrahem G. Ameen
2020 J jnl
High-order continuous Galerkin methods for multi-dimensional advection-reaction-diffusion problems.
Eng. Comput.
Ramy M. Hafez, Mahmoud A. Zaky
2020 J jnl
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations.
Comput. Math. Appl.
Mahmoud A. Zaky, J. Tenreiro Machado
2020 J jnl
Semi-implicit Galerkin-Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion-Reaction Equations with Smooth and Nonsmooth Solutions.
J. Sci. Comput.
Mahmoud A. Zaky, Ahmed S. Hendy, Jorge Eduardo Macías-Díaz
2019 J jnl
On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems.
Comput. Appl. Math.
Mahmoud A. Zaky, Ibrahem G. Ameen
2019 J jnl
Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions.
J. Comput. Appl. Math.
Mahmoud A. Zaky
2019 J jnl
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations.
Comput. Appl. Math.
Mohamed A. Abdelkawy, António M. Lopes, Mahmoud A. Zaky
2018 J jnl
An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid.
Comput. Math. Appl.
Mahmoud A. Zaky
2018 J jnl
New Recursive Approximations for variable-order fractional operators with Applications.
Math. Model. Anal.
Mahmoud A. Zaky, Eid H. Doha, Taha M. Taha, Dumitru Baleanu
2017 J jnl
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations.
Comput. Math. Appl.
Ali H. Bhrawy, Mahmoud A. Zaky
2017 J jnl
Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation.
J. Optim. Theory Appl.
Ali H. Bhrawy, Mahmoud A. Zaky, José António Tenreiro Machado
2017 J jnl
On the formulation and numerical simulation of distributed-order fractional optimal control problems.
Commun. Nonlinear Sci. Numer. Simul.
Mahmoud A. Zaky, J. A. Tenreiro Machado
2016 J jnl
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation.
Numer. Algorithms
Ali H. Bhrawy, Mahmoud A. Zaky, Robert A. Van Gorder
2015 J jnl
A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations.
J. Comput. Phys.
Ali H. Bhrawy, Mahmoud A. Zaky