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ORCIDMahmoud A. Zaky
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2020 – today
- 2024
[j40]Marwa Gamal
, Mahmoud A. Zaky, Mamdouh El-Kady, Mohamed Abdelhakem:
Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations. Comput. Appl. Math. 43(7): 412 (2024)- [j39]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: 195-206 (2024) - [j38]Julius Fergy T. Rabago, Aissam Hadri, Lekbir Afraites, Ahmed S. Hendy, Mahmoud A. Zaky:
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting. Comput. Math. Appl. 175: 19-32 (2024) - [j37]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): 52 (2024) - [j36]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: 77-103 (2024) - [j35]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): 319-349 (2024) - [j34]Younes Talaei, Mahmoud A. Zaky, Ahmed S. Hendy:
An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions. Numer. Algorithms 97(3): 1089-1117 (2024) - 2023
- [j33]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: 107017 (2023) - [j32]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: 114832 (2023) - [j31]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: 115287 (2023) - [j30]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: 614-635 (2023) - [i2]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 abs/2303.03708 (2023) - 2022
- [j29]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: 106288 (2022) - [j28]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: 106755 (2022) - [j27]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): 1351-1363 (2022) - [j26]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: 113748 (2022) - [j25]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: 269-279 (2022) - [j24]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: 289-295 (2022) - [j23]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: 218-239 (2022) - [j22]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): 1567-1601 (2022) - [i1]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 abs/2209.00211 (2022) - 2021
- [j21]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) - [j20]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: 105672 (2021) - [j19]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): 2623-2631 (2021) - [j18]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): 1420-1437 (2021) - [j17]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: 113468 (2021) - [j16]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: 678-690 (2021) - [j15]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: 1370-1378 (2021) - 2020
- [j14]Mahmoud A. Zaky, J. Tenreiro Machado:
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. Comput. Math. Appl. 79(2): 476-488 (2020) - [j13]Ramy M. Hafez, Mahmoud A. Zaky:
High-order continuous Galerkin methods for multi-dimensional advection-reaction-diffusion problems. Eng. Comput. 36(4): 1813-1829 (2020) - [j12]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): 13 (2020) - [j11]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): 63-89 (2020)
2010 – 2019
- 2019
- [j10]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) - [j9]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) - [j8]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: 103-122 (2019) - 2018
- [j7]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): 2243-2258 (2018) - [j6]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): 227-239 (2018) - 2017
- [j5]Ali H. Bhrawy, Mahmoud A. Zaky:
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. Comput. Math. Appl. 73(6): 1100-1117 (2017) - [j4]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: 177-189 (2017) - [j3]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): 321-341 (2017) - 2016
- [j2]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): 151-180 (2016) - 2015
- [j1]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: 876-895 (2015)
Coauthor Index
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