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Ahmed S. Hendy
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2020 – today
- 2024
- [j39]Ruru Wang
, Yubin Yan
, Ahmed S. Hendy, Leijie Qiao:
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions. Comput. Math. Appl. 155: 126-141 (2024) - [j38]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) - [j37]Zakieh Avazzadeh, Hossein Hassani, Mohammad Javad Ebadi, Ali Bayati Eshkaftaki, Ahmed S. Hendy:
An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs. Int. J. Comput. Math. 101(2): 138-153 (2024) - [j36]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) - [j35]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) - [j34]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) - 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
, Karel Van Bockstal
:
On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions. J. Sci. Comput. 90(1): 41 (2022) - [j24]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) - [j23]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) - [j22]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) - [j21]Ahmed S. Hendy, Karel Van Bockstal
:
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions. Numer. Algorithms 90(2): 809-832 (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
- [j20]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) - [j19]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) - [j18]Jorge Eduardo Macías-Díaz
, Ahmed S. Hendy
, Nikita S. Markov
:
A bounded numerical solver for a fractional FitzHugh-Nagumo equation and its high-performance implementation. Eng. Comput. 37(2): 1593-1609 (2021) - [j17]Ahmed S. Hendy
:
Numerical treatment for after-effected multi-term time-space fractional advection-diffusion equations. Eng. Comput. 37(4): 2763-2773 (2021) - [j16]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) - [j15]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) - [j14]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
- [j13]Romeo Martínez
, Jorge Eduardo Macías-Díaz
, Ahmed S. Hendy
:
Corrigendum to "A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system". Commun. Nonlinear Sci. Numer. Simul. 83: 105109 (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)
2010 – 2019
- 2019
- [j11]Ahmed S. Hendy
, Jorge Eduardo Macías-Díaz
:
A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space-Fractional Gross-Pitaevskii Equation. Int. J. Appl. Math. Comput. Sci. 29(4): 713-723 (2019) - [j10]Ahmed S. Hendy
, Jorge Eduardo Macías-Díaz
:
A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system. Commun. Nonlinear Sci. Numer. Simul. 71: 22-37 (2019) - [j9]Ahmed S. Hendy
, Jorge Eduardo Macías-Díaz
:
A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations. Commun. Nonlinear Sci. Numer. Simul. 73: 110-119 (2019) - [j8]Ahmed S. Hendy
, Jorge Eduardo Macías-Díaz
, Adán J. Serna-Reyes
:
On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy. J. Comput. Appl. Math. 354: 612-622 (2019) - [j7]Jorge Eduardo Macías-Díaz
, Ahmed S. Hendy
:
Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: Theoretical analysis and pattern formation. J. Comput. Phys. 397 (2019) - 2018
- [j6]Jorge Eduardo Macías-Díaz
, Ahmed S. Hendy
, Rob H. De Staelen
:
A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations. Appl. Math. Comput. 325: 1-14 (2018) - [j5]Jorge Eduardo Macías-Díaz
, Ahmed S. Hendy
, Rob H. De Staelen
:
A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives. Comput. Phys. Commun. 224: 98-107 (2018) - [j4]Ahmed S. Hendy
, Rob H. De Staelen
, Vladimir G. Pimenov
:
A semi-linear delayed diffusion-wave system with distributed order in time. Numer. Algorithms 77(3): 885-903 (2018) - 2017
- [j3]Vladimir G. Pimenov
, Ahmed S. Hendy
:
A numerical solution for a class of time fractional diffusion equations with delay. Int. J. Appl. Math. Comput. Sci. 27(3): 477-488 (2017) - [j2]Rob H. De Staelen
, Ahmed S. Hendy
:
Numerically pricing double barrier options in a time-fractional Black-Scholes model. Comput. Math. Appl. 74(6): 1166-1175 (2017) - [j1]Vladimir G. Pimenov
, Ahmed S. Hendy
, Rob H. De Staelen
:
On a class of non-linear delay distributed order fractional diffusion equations. J. Comput. Appl. Math. 318: 433-443 (2017) - 2016
- [c1]Vladimir G. Pimenov
, Ahmed S. Hendy
:
Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay. NAA 2016: 533-541
Coauthor Index
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