Ahmed S. Hendy

Orcid: 0000-0002-3266-7243

According to our database1, Ahmed S. Hendy authored at least 48 papers between 2016 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2025
Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel.
Numer. Algorithms, February, 2025

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., 2025

Learning primal-dual approach for space-dependent diffusion coefficient identification in fractional diffusion equations.
J. Comput. Phys., 2025

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation.
Commun. Nonlinear Sci. Numer. Simul., 2025

2024
An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions.
Numer. Algorithms, November, 2024

Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations.
J. Sci. Comput., May, 2024

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains.
Math. Comput. Simul., February, 2024

BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions.
Comput. Math. Appl., February, 2024

A second-order finite difference scheme for nonlinear tempered fractional integrodifferential equations in three dimensions.
Numer. Algorithms, January, 2024

An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs.
Int. J. Comput. Math., 2024

A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting.
Comput. Math. Appl., 2024

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation.
Comput. Math. Appl., 2024

2023
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian.
Math. Comput. Simul., April, 2023

A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions.
Commun. Nonlinear Sci. Numer. Simul., April, 2023

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay.
J. Comput. Appl. Math., 2023

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., 2023

On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations.
CoRR, 2023

2022
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions.
Numer. Algorithms, 2022

A note on a class of Caputo fractional differential equations with respect to another function.
Math. Comput. Simul., 2022

An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function.
Math. Comput. Simul., 2022

Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations.
Math. Comput. Simul., 2022

On a Reconstruction of a Solely Time-Dependent Source in a Time-Fractional Diffusion Equation with Non-smooth Solutions.
J. Sci. Comput., 2022

On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations.
J. Comput. Appl. Math., 2022

Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations.
Eng. Comput., 2022

A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel.
CoRR, 2022

A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system.
Commun. Nonlinear Sci. Numer. Simul., 2022

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay.
Commun. Nonlinear Sci. Numer. Simul., 2022

2021
Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings.
Math. Comput. Simul., 2021

A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions.
Math. Comput. Simul., 2021

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations.
Int. J. Comput. Math., 2021

A bounded numerical solver for a fractional FitzHugh-Nagumo equation and its high-performance implementation.
Eng. Comput., 2021

Numerical treatment for after-effected multi-term time-space fractional advection-diffusion equations.
Eng. Comput., 2021

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?
Commun. Nonlinear Sci. Numer. Simul., 2021

Computational aspects of fractional Romanovski-Bessel functions.
Comput. Appl. Math., 2021

2020
Semi-implicit Galerkin-Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion-Reaction Equations with Smooth and Nonsmooth Solutions.
J. Sci. Comput., 2020

Corrigendum to "A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system".
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: Theoretical analysis and pattern formation.
J. Comput. Phys., 2019

On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy.
J. Comput. Appl. Math., 2019

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations.
Commun. Nonlinear Sci. Numer. Simul., 2019

A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system.
Commun. Nonlinear Sci. Numer. Simul., 2019

A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space-Fractional Gross-Pitaevskii Equation.
Int. J. Appl. Math. Comput. Sci., 2019

2018
A semi-linear delayed diffusion-wave system with distributed order in time.
Numer. Algorithms, 2018

A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives.
Comput. Phys. Commun., 2018

A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations.
Appl. Math. Comput., 2018

2017
On a class of non-linear delay distributed order fractional diffusion equations.
J. Comput. Appl. Math., 2017

Numerically pricing double barrier options in a time-fractional Black-Scholes model.
Comput. Math. Appl., 2017

A numerical solution for a class of time fractional diffusion equations with delay.
Int. J. Appl. Math. Comput. Sci., 2017

2016
Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016


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