Mohamed Abdelhakem

Mathematics Department - Faculty of Science - Helwan University

h-index: 16

Personal Information

Male

Egypt

Cairo

Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt

Specializations

ordinary-differential-equations partial-differential-equations integral-equations numerical-analysis

Publications

Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems

M Abdelhakem, YH Youssri

Applied Numerical Mathematics 169, 243-255, 2021

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Shifted Chebyshev schemes for solving fractional optimal control problems

M Abdelhakem, H Moussa, D Baleanu, M El-Kady

Journal of Vibration and Control 25 (15), 2143-2150, 2019

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Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

M Abdelhakem, D Mahmoud, D Baleanu, M El-kady

Advances in Difference Equations 2021, 110, 2021

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Spectral monic Chebyshev approximation for higher order differential equations

M Abdelhakem, A Ahmed, M El-kady

Mathematical Sciences Letters 8 (2), 11-17, 2019

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A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials

YH Youssri, WM Abd‐Elhameed, M Abdelhakem

Mathematical Methods in the Applied Sciences 44 (11), 9224-9236, 2021

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Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems

ME M. Abdelhakem, Dina Abdelhamied, Maryam G. Alshehri

Fractals 30 (1), 2240038, 2022

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Approximating real-life BVPs via Chebyshev polynomials’ first derivative pseudo-Galerkin method

M Abdelhakem, T Alaa-Eldeen, D Baleanu, MG Alshehri, M El-Kady

Fractal and Fractional 5 (4), 165, 2021

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Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems

M Abdelhakem, A Ahmed, D Baleanu, M El-kady

Computational and Applied Mathematics 41, 253, 2022

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A numerical method based on Legendre differentiation matrices for higher order ODEs

M Abdelhakem, M Biomy, SA Kandil, D Baleanu, M El-Kady

Inf. Sci. Lett. 9 (3), 175-180, 2020

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The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet

E M Abo-Eldahab, R Adel, H M Mobarak, M Abdelhakem

Applied Mathematics & Information Sciences 15 (6), 731-741, 2021

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Pseudo-spectral matrices as a numerical tool for dealing BVPs, based on Legendre polynomials’ derivatives

M Abdelhakem, H Moussa

Alexandria Engineering Journal 66, 301-313, 2023

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Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices

M Abdelhakem, D Baleanu, P Agarwal, H Moussa

International Journal of Modern Physics C (IJMPC) 34 (03), 2350036, 2023

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On ideals and grills in topological spaces

A Kandil, SA El-Sheikh, M Abdelhakem, SA Hazza

South Asian, 2015

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An efficient technique for approximated BVPs via the second derivative Legendre polynomials pseudo-Galerkin method: Certain types of applications

M Abdelhakem, M Fawzy, M El-Kady, H Moussa

Results in Physics 43, 106067, 2022

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Legendre Polynomials’ Second Derivative Tau Method for Solving Lane-Emden and Ricatti Equations

M Abdelhakem, M Fawzy, M El-Kady, H Moussa

Applied Mathematics & Information Sciences 17 (3), 437-445, 2023

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Shifted Legendre Fractional Pseudo-Spectral Integration Matrices For Solving Fractional Volterra Integro-Differential Equations and Abel’s Integral Equations

M Abdelhakem

Fractals 31 (10), 2340190, 2023

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Adapted Shifted ChebyshevU Operational Matrix of Derivatives: Two Algorithms for Solving Even-Order BVPs

D Abdelhamied, M Abdelhakem, M El-Kady, YH Youssri

Applied Mathematics & Information Sciences 17 (3), 505-511, 2023

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Legendre derivatives direct residual spectral method for solving some types of ordinary differential equations

M Fawzy, H Moussa, D Baleanu, M El-Kady, M Abdelhakem

Math. Sci. Lett. 11 (3), 103-108, 2022

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Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems

D Abdelhamid, W Albalawi, KS Nisar, A Abdel-Aty, S Alsaeed, ...

AIMS math 8 (10), 24609-24631, 2023

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MHD 3D nanofluid flow over nonlinearly stretching/shrinking sheet with nonlinear thermal radiation: Novel approximation via Chebyshev polynomials’ derivative pseudo-Galerkin method

HM Mobarak, EM Abo-Eldahab, R Adel, M Abdelhakem

Alexandria Engineering Journal 102, 119-131, 2024

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Research Interests

Numerical Analysis

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Optimal Control

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Approximate Solutions

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Differential Problems

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Differential

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Mohamed Abdelhakem

Personal Information

Specializations

Publications

Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems

Shifted Chebyshev schemes for solving fractional optimal control problems

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Spectral monic Chebyshev approximation for higher order differential equations

A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials

Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems

Approximating real-life BVPs via Chebyshev polynomials’ first derivative pseudo-Galerkin method

Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems

A numerical method based on Legendre differentiation matrices for higher order ODEs

The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet

Pseudo-spectral matrices as a numerical tool for dealing BVPs, based on Legendre polynomials’ derivatives

Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices

On ideals and grills in topological spaces

An efficient technique for approximated BVPs via the second derivative Legendre polynomials pseudo-Galerkin method: Certain types of applications

Legendre Polynomials’ Second Derivative Tau Method for Solving Lane-Emden and Ricatti Equations

Shifted Legendre Fractional Pseudo-Spectral Integration Matrices For Solving Fractional Volterra Integro-Differential Equations and Abel’s Integral Equations

Adapted Shifted ChebyshevU Operational Matrix of Derivatives: Two Algorithms for Solving Even-Order BVPs

Legendre derivatives direct residual spectral method for solving some types of ordinary differential equations

Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems

MHD 3D nanofluid flow over nonlinearly stretching/shrinking sheet with nonlinear thermal radiation: Novel approximation via Chebyshev polynomials’ derivative pseudo-Galerkin method

Research Interests

Numerical Analysis

Optimal Control

Approximate Solutions

Differential Problems

Differential

Sections

Mohamed Abdelhakem

Personal Information

Specializations

Publications

Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems

Shifted Chebyshev schemes for solving fractional optimal control problems

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Spectral monic Chebyshev approximation for higher order differential equations

A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials

Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems

Approximating real-life BVPs via Chebyshev polynomials’ first derivative pseudo-Galerkin method

Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems

A numerical method based on Legendre differentiation matrices for higher order ODEs

The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet

Pseudo-spectral matrices as a numerical tool for dealing BVPs, based on Legendre polynomials’ derivatives

Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices

On ideals and grills in topological spaces

An efficient technique for approximated BVPs via the second derivative Legendre polynomials pseudo-Galerkin method: Certain types of applications

Legendre Polynomials’ Second Derivative Tau Method for Solving Lane-Emden and Ricatti Equations

Shifted Legendre Fractional Pseudo-Spectral Integration Matrices For Solving Fractional Volterra Integro-Differential Equations and Abel’s Integral Equations

Adapted Shifted ChebyshevU Operational Matrix of Derivatives: Two Algorithms for Solving Even-Order BVPs

Legendre derivatives direct residual spectral method for solving some types of ordinary differential equations

Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems

MHD 3D nanofluid flow over nonlinearly stretching/shrinking sheet with nonlinear thermal radiation: Novel approximation via Chebyshev polynomials’ derivative pseudo-Galerkin method

Research Interests

Numerical Analysis

Optimal Control

Approximate Solutions

Differential Problems

Differential

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