M. Zaky

发表

Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations

M. Abdelkawy, A. Lopes, M. Zaky, 2019, Comput. Appl. Math..

On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems

Ibrahem G. Ameen, M. Zaky, I. G. Ameen, 2019, Computational and Applied Mathematics.

Jacobi Spectral Galerkin Method for Distributed-Order Fractional Rayleigh–Stokes Problem for a Generalized Second Grade Fluid

M. Abdelkawy, M. Zaky, R. Hafez, 2020, Frontiers in Physics.

An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

M. Zaky, A. Hendy, 2021 .

On Romanovski–Jacobi polynomials and their related approximation results

E. H. Doha, M. Zaky, R. Hafez, 2020, Numerical Methods for Partial Differential Equations.

High‐order finite difference/spectral‐Galerkin approximations for the nonlinear time–space fractional Ginzburg–Landau equation

M. Zaky, A. Hendy, J. Macías-Díaz, 2020, Numerical Methods for Partial Differential Equations.

An improved collocation method for multi-dimensional spacetime variable-order fractional Schrdinger equations

M. Zaky, A. Bhrawy, 2017 .

A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients

M. Zaky, A. Bhrawy, 2016 .

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

M. Zaky, A. Bhrawy, 2014, Nonlinear Dynamics.

Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations

M. Zaky, A. Bhrawy, 2017 .

Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem

J. F. Alzaidy, M. Zaky, A. Bhrawy, 2016 .

Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection–diffusion equation

J. F. Alzaidy, M. Zaky, D. Baleanu, 2018 .

A research note on the nonstandard finite difference method for solving variable-order fractional optimal control problems

M. Zaky, 2018 .

A Legendre collocation method for distributed-order fractional optimal control problems

M. Zaky, 2018 .

Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems

M. Zaky, 2019, Applied Numerical Mathematics.

Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations

M. Zaky, A. Hendy, 2020, Engineering with Computers.

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

M. Zaky, A. Hendy, 2020 .

A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

M. Zaky, 2018 .

On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations

Ibrahem G. Ameen, E. H. Doha, M. Zaky, 2021 .

Convergence analysis of a Legendre spectral collocation method for nonlinear Fredholm integral equations in multidimensions

M. Zaky, A. Hendy, 2020 .

A FAST AND PRECISE NUMERICAL ALGORITHM FOR A CLASS OF VARIABLE– ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

M. Zaky, A. Bhrawy, M. Abdel-Aty, 2017 .

Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations

Ali H. Bhrawy, M. A. Zaky, M. Zaky, 2016 .

On the Cole–Hopf transformation and integration by parts formulae in computational methods within fractional differential equations and fractional optimal control theory

J. T. Tenreiro Machado, M. Zaky, A. Hendy, 2021, Journal of Vibration and Control.

A NEW OPERATIONAL MATRIX BASED ON JACOBI WAVELETS FOR A CLASS OF VARIABLE-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

Ibrahem G. Ameen, M. Abdelkawy, M. Zaky, 2017 .

An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function

M. Zaky, A. Hendy, V. Pimenov, 2022, Math. Comput. Simul..

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

M. Zaky, A. Hendy, 2020, Int. J. Comput. Math..

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

M. Zaky, 2020 .

NEW NUMERICAL APPROXIMATIONS FOR SPACE-TIME FRACTIONAL BURGERS' EQUATIONS VIA A LEGENDRE SPECTRAL-COLLOCATION METHOD

Saudi Arabia, Dumitru Baleanu, Ali H. Bhrawy, 2014 .

Jacobi spectral collocation technique for fractional inverse parabolic problem

A. S. Alnahdi, M. Abdelkawy, M. Zaky, 2021, Alexandria Engineering Journal.

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay

K. Van Bockstal, M. Zaky, T. Taha, 2022, J. Comput. Appl. Math..

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay

M. Zaky, A. Hendy, K. V. Bockstal, 2022, Commun. Nonlinear Sci. Numer. Simul..

Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution

K. Van Bockstal, M. Zaky, A. Hendy, 2022, Quaestiones Mathematicae.

New Recursive Approximations for variable-order fractional operators with Applications

E. H. Doha, M. Zaky, D. Baleanu, 2018, Math. Model. Anal..

Spectral Solutions for Differential and Integral Equations with Varying Coefficients Using Classical Orthogonal Polynomials

E. H. Doha, M. Zaky, Youssri Hassan Youssri, 2018, Bulletin of the Iranian Mathematical Society.

Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations

M. Zaky, A. Hendy, W. Qiu, 2022, Applied Numerical Mathematics.

Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation

J. Machado, M. Zaky, A. Bhrawy, 2016, Journal of Optimization Theory and Applications.

A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions

E. H. Doha, M. Zaky, A. Hendy, 2022, Commun. Nonlinear Sci. Numer. Simul..

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

M. Zaky, Hao Chen, A. Hendy, 2022, Calcolo.

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

M. Zaky, A. Bhrawy, 2014, Nonlinear Dynamics.

Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian

M. Zaky, A. Hendy, M. Fardi, 2022, Math. Comput. Simul..

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation

M. Zaky, A. Bhrawy, R. A. Gorder, 2015, Numerical Algorithms.

A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

Ali H. Bhrawy, Mahmoud A. Zaky, M. Zaky, 2015, J. Comput. Phys..

High-order continuous Galerkin methods for multi-dimensional advection–reaction–diffusion problems

Mahmoud A. Zaky, Ramy M. Hafez, M. Zaky, 2020, Engineering with Computers.

Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions

E. H. Doha, M. Zaky, Howayda Abo-Gabal, 2022, Applied Numerical Mathematics.

Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions

Mahmoud A. Zaky, M. Zaky, 2019, J. Comput. Appl. Math..

A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis

E. H. Doha, M. Zaky, N. Elkot, 2020 .

Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations

J. A. Tenreiro Machado, M. A. Zaky, J. Machado, 2020, Comput. Math. Appl..

Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

Mahmoud A. Zaky, Jorge E. Macías-Díaz, Ahmed S. Hendy, 2020, J. Sci. Comput..

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

Mahmoud A. Zaky, Ibrahem G. Ameen, M. Zaky, 2019, Numerical Algorithms.

Chebyshev spectral methods for multi-order fractional neutral pantograph equations

Y. Wang, M. A. Abdelkawy, S. S. Ezz-Eldien, 2020 .

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation

Ali H. Bhrawy, Robert A. Van Gorder, Mahmoud A. Zaky, 2015, Numerical Algorithms.

On the formulation and numerical simulation of distributed-order fractional optimal control problems

J. A. Tenreiro Machado, M. A. Zaky, J. Machado, 2017, Commun. Nonlinear Sci. Numer. Simul..

Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations

M. Abdelkawy, M. Zaky, António M. Lopes, 2019, Computational and Applied Mathematics.

An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations

J. A. Tenreiro Machado, Ali H. Bhrawy, Eid H. Doha, 2016 .

Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain

M. A. Abdelkawy, M. Abdelkawy, M. Zaky, 2022, Mathematical Methods in the Applied Sciences.

Logarithmic Jacobi collocation method for Caputo–Hadamard fractional differential equations

M. Zaky, A. Hendy, D. Suragan, 2022, Applied Numerical Mathematics.

An energy-preserving computational approach for the semilinear space fractional damped Klein–Gordon equation with a generalized scalar potential

M. Zaky, T. Taha, A. Hendy, 2022, Applied Mathematical Modelling.

A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions

Mahmoud A. Zaky, R. M. Hafez, Ahmed S. Hendy, 2021, Math. Comput. Simul..

The impact of memory effect on space fractional strong quantum couplers with tunable decay behavior and its numerical simulation

M. Zaky, R. Hafez, A. Hendy, 2021, Scientific Reports.

Alikhanov Legendre—Galerkin Spectral Method for the Coupled Nonlinear Time-Space Fractional Ginzburg–Landau Complex System

M. Zaky, A. Hendy, R. H. De Staelen, 2021, Mathematics.

Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations

Ali H. Bhrawy, Mahmoud A. Zaky, M. Zaky, 2017, Comput. Math. Appl..

An Efficient Hybrid Numerical Scheme for Nonlinear Multiterm Caputo Time and Riesz Space Fractional-Order Diffusion Equations with Delay

M. Zaky, A. Hendy, V. Pimenov, 2021, Journal of Function Spaces.

A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

M. Zaky, 2017, Computational and Applied Mathematics.

Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation

M. Zaky, A. Hendy, 2021, Nonlinear Dynamics.

Numerical algorithm for a generalized form of Schnakenberg reaction-diffusion model with gene expression time delay

M. Zaky, A. Hendy, V. Pimenov, 2022, Applied Numerical Mathematics.

High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay

M. Zaky, I. Hashim, A. Hendy, 2022, Mathematics.

Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative

Mahmoud A. Zaky, Eid H. Doha, Ibrahem G. Ameen, 2021, J. Comput. Appl. Math..

Numerical algorithm for the variable-order Caputo fractional functional differential equation

Ali H. Bhrawy, M. A. Zaky, M. Zaky, 2016 .

A spectral framework for fractional variational problems based on fractional Jacobi functions

J.A. Tenreiro Machado, E. H. Doha, J. T. Tenreiro Machado, 2018, Applied Numerical Mathematics.

An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid

Mahmoud A. Zaky, M. Zaky, 2017, Comput. Math. Appl..

NUMERICAL SIMULATION OF TIME VARIABLE FRACTIONAL ORDER MOBILE-IMMOBILE ADVECTION-DISPERSION MODEL

M. Abdelkawy, M. Zaky, D. Baleanu, 2015 .

Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection–diffusion equation

J. F. Alzaidy, M. Zaky, D. Baleanu, 2018 .

Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem

J. F. Alzaidy, M. Zaky, A. Bhrawy, 2016 .

Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation

José António Tenreiro Machado, Ali H. Bhrawy, Mahmoud A. Zaky, 2017, J. Optim. Theory Appl..

A COMPUTATIONALLY EFFICIENT METHOD FOR A CLASS OF FRACTIONAL VARIATIONAL AND OPTIMAL CONTROL PROBLEMS USING FRACTIONAL GEGENBAUER FUNCTIONS

E. H. Doha, M. Abdelkawy, M. Zaky, 2018 .

A NOVEL SPECTRAL APPROXIMATION FOR THE TWO-DIMENSIONAL FRACTIONAL SUB-DIFFUSION PROBLEMS

Saudi Arabia, Dumitru Baleanu, Ali H. Bhrawy, 2015 .

Computational aspects of fractional Romanovski–Bessel functions

Mahmoud A. Zaky, Ahmed S. Hendy, Eid H. Doha, 2021, Computational and Applied Mathematics.

Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations

Mahmoud A. Zaky, Eid H. Doha, Ramy M. Hafez, 2021, Numerical Algorithms.

Semi-implicit Galerkin–Legendre Spectral Schemes for Nonlinear Time-Space Fractional Diffusion–Reaction Equations with Smooth and Nonsmooth Solutions

M. Zaky, A. Hendy, J. Macías-Díaz, 2020, Journal of Scientific Computing.

Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings

Mahmoud A. Zaky, Mostafa Abbaszadeh, Ahmed S. Hendy, 2021, Math. Comput. Simul..

A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay

Mahmoud A. Zaky, Rob H. De Staelen, Ahmed S. Hendy, 2021 .

Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel

M. Zaky, A. Hendy, Y. Cao, 2023, J. Comput. Appl. Math..

A Legendre collocation method for distributed-order fractional optimal control problems

M. Zaky, 2018, Nonlinear dynamics.

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?

Mahmoud A. Zaky, Ahmed S. Hendy, Anatoly A. Alikhanov, 2021, Commun. Nonlinear Sci. Numer. Simul..

COMPOSITE BERNOULLI-LAGUERRE COLLOCATION METHOD FOR A CLASS OF HYPERBOLIC TELEGRAPH-TYPE

M. Abdelkawy, M. Zaky, R. Hafez, 2017 .

Inclusion Properties of p-Valent Functions Associated with Borel Distribution Functions

António M. Lopes, M. Zaky, A. Hendy, 2023, Mathematics.

Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy

M. Zaky, A. Hendy, W. Qiu, 2023, Applied Numerical Mathematics.

Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order

M. Zaky, Xiangcheng Zheng, A. Hendy, 2023, Applied Numerical Mathematics.

Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation

Mostafa Abbaszadeh, M. Dehghan, M. Zaky, 2021, Journal of Function Spaces.

Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction–diffusion equations

K. Van Bockstal, M. Zaky, A. Hendy, 2022, Nonlinear Dynamics.

Spectral Solutions for Differential and Integral Equations with Varying Coefficients Using Classical Orthogonal Polynomials

Y. H. Youssri, E. H. Doha, M. Zaky, 2018, Bulletin of the Iranian Mathematical Society.

A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation

Mostafa Abbaszadeh, M. Dehghan, M. Zaky, 2023, Applied Numerical Mathematics.

Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations

M. Zaky, A. Bhrawy, 2017, Nonlinear Dynamics.

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation

M. Zaky, A. Hendy, A. Oulmelk, 2024, Computers & Mathematics with Applications.

Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers' Equations

M. Zaky, A. Hendy, Xiangyi Peng, 2024, J. Sci. Comput..

A comparative study on entropy and thermal performance of Cu/CuO/Fe3O4-based engine oil Carreau nanofluids in PTSCs: a theoretical model for solar-powered aircraft applications

M. Zaky, A. Hendy, Philopatir B. Raafat, 2024, Journal of Thermal Analysis and Calorimetry.

Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations

M. Zaky, A. Hendy, D. Suragan, 2021, Mathematics and Computers in Simulation.

Numerical algorithm for the variable-order Caputo fractional functional differential equation

M. Zaky, A. Bhrawy, 2016, Nonlinear Dynamics.

Optimal spectral Galerkin approximation for time and space fractional reaction-diffusion equations

M. Zaky, A. Hendy, A. Aldraiweesh, 2024, Applied Numerical Mathematics.

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains

Mostafa Abbaszadeh, M. Dehghan, M. Zaky, 2023, Math. Comput. Simul..

Optical solitons based on N-coupled nonlinear Schrödinger equations and rational RBF partition of unity approach

Mostafa Abbaszadeh, M. Zaky, Mehdi Dehghan, 2024, Engineering Analysis with Boundary Elements.

Improving Rate of Penetration for PDC Drill Bit Using Reverse Engineering

Turnad Lenggo Ginta, T. V. V. L. N. Rao, Ahmad Majdi Abdul-Rani, 2014 .