Ahmed S. Hendy

Publication Activity (10 Years)

Years Active: 2016-2024
Publications (10 Years): 42

Top Topics

Diffusion Equation

Error Estimates

Fractional Order

Numerical Analysis

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Math. Comput. Simul.

J. Comput. Appl. Math.

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)
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 (2024)
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) (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, 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) (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)
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) (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)
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)
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) (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)
Ahmed S. Hendy
Numerical treatment for after-effected multi-term time-space fractional advection-diffusion equations. Eng. Comput. 37 (4) (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)
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)
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 (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)
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 (2019)
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 (2019)
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 (2019)
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)
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) (2019)
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) (2018)
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 (2018)
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 (2018)
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 (2017)
Rob H. De Staelen, Ahmed S. Hendy
Numerically pricing double barrier options in a time-fractional Black-Scholes model. Comput. Math. Appl. 74 (6) (2017)
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) (2017)
Vladimir G. Pimenov, Ahmed S. Hendy
Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay. NAA (2016)