Search Results - "Zaky, Mahmoud A."

Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations by Hendy, Ahmed S., Zaky, Mahmoud A.

“…In this paper, we develop an efficient finite difference/spectral method to solve a coupled system of nonlinear multi-term time-space fractional diffusion…”
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The impact of memory effect on space fractional strong quantum couplers with tunable decay behavior and its numerical simulation by Hendy, Ahmed S., Zaky, Mahmoud A., Hafez, Ramy M., De Staelen, Rob H.

“…The nontrivial behavior of wave packets in the space fractional coupled nonlinear Schrödinger equation has received considerable theoretical attention. The…”
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A Legendre collocation method for distributed-order fractional optimal control problems by Zaky, Mahmoud A.

“…In many dynamic processes, the fractional differential operators not only appear as discrete fractional, but they also possess a continuous nature in a sense…”
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Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation by Abbaszadeh, Mostafa, Dehghan, Mehdi, Zaky, Mahmoud A., Hendy, Ahmed S.

“…A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with…”
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Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions by Amini, Ebrahim, Fardi, Mojtaba, Zaky, Mahmoud A., Lopes, António M., Hendy, Ahmed S.

“…In this paper, we define a differential operator on an open unit disk Δ by using the novel Borel distribution (BD) operator and means of convolution. This…”
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Numerical Reconstruction of a Space-Dependent Reaction Coefficient and Initial Condition for a Multidimensional Wave Equation with Interior Degeneracy by Sidi, Hamed Ould, Zaky, Mahmoud A., De Staelen, Rob H., Hendy, Ahmed S.

“…A simultaneous reconstruction of the initial condition and the space-dependent reaction coefficient in a multidimensional hyperbolic partial differential…”
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A Matrix Transform Technique for Distributed-Order Time-Fractional Advection–Dispersion Problems by Derakhshan, Mohammadhossein, Hendy, Ahmed S., Lopes, António M., Galhano, Alexandra, Zaky, Mahmoud A.

“…Invoking the matrix transfer technique, we propose a novel numerical scheme to solve the time-fractional advection–dispersion equation (ADE) with…”
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NEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONS by Zaky, Mahmoud A., Doha, Eid H., Taha, Taha M., Baleanu, Dumitru

“…To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation.In…”
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High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay by Amin, Ahmed Z., Zaky, Mahmoud A., Hendy, Ahmed S., Hashim, Ishak, Aldraiweesh, Ahmed

“…One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is…”
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Non-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo–Hadamard Differential Equations by Zaky, Mahmoud A., Ameen, Ibrahem G., Babatin, Mohammed, Akgül, Ali, Hammad, Magda, Lopes, António M.

“…In this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo–Hadamard differential equations. Since the Caputo–Hadamard operators…”
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Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay by Nandal, Sarita, Zaky, Mahmoud A., De Staelen, Rob H., Hendy, Ahmed S.

“…The purpose of this paper is to develop a numerical scheme for the two-dimensional fourth-order fractional subdiffusion equation with variable coefficients and…”
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A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations by Zaky, Mahmoud A.

“…In this study, a Legendre spectral tau method is revisited to handle the multi-term time-fractional diffusion equations (MTT-FDEs). An error estimate and…”
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Jacobi Spectral Collocation Technique for Time-Fractional Inverse Heat Equations by Abdelkawy, Mohamed A., Amin, Ahmed Z. M., Babatin, Mohammed M., Alnahdi, Abeer S., Zaky, Mahmoud A., Hafez, Ramy M.

“…In this paper, we introduce a numerical solution for the time-fractional inverse heat equations. We focus on obtaining the unknown source term along with the…”
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Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation by Hendy, Ahmed S., Zaky, Mahmoud A.

“…The main aim of this paper is to construct an efficient Galerkin–Legendre spectral approximation combined with a finite difference formula of L 1 type to…”
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Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions by Zaky, Mahmoud A., Hendy, Ahmed S., Macías-Díaz, Jorge E.

“…For the first time in literature, semi-implicit spectral approximations for nonlinear Caputo time- and Riesz space-fractional diffusion equations with both…”
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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 by Zaky, Mahmoud A., Ameen, Ibrahem G.

“…Our aim in this paper is to develop a Legendre-Jacobi collocation approach for a nonlinear system of two-point boundary value problems with derivative orders…”
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Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations by Zaky, Mahmoud A., Hendy, Ahmed S.

“…This paper develops and analyses a finite difference/spectral-Galerkin scheme for the nonlinear fractional Schrödinger equations with Riesz space- and Caputo…”
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Convergence analysis of a Legendre spectral collocation method for nonlinear Fredholm integral equations in multidimensions by Zaky, Mahmoud A., Hendy, Ahmed S.

“…It is a very challenging task to solve a nonlinear integral equation in multidimensions. The main purpose of this paper is to develop and analyze a spectral…”
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A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions by Zaky, Mahmoud A., Ameen, Ibrahem G.

“…The main purpose of this work is to develop a spectrally accurate collocation method for solving weakly singular integral equations of the second kind with…”
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Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations by Peng, Xiangyi, Qiu, Wenlin, Hendy, Ahmed S., Zaky, Mahmoud A.

“…Two kinds of numerical schemes are investigated for time-fractional generalized Burgers’ equations (TFGBE). The first kind is obtained by the temporal…”
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