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Mohamed Abdelhakem
Mohamed Abdelhakem
Other namesM. Abdelhakem
Canadian International College -Mathematics Department - Faculty of Science - Helwan University
Verified email at science.helwan.edu.eg - Homepage
Title
Cited by
Cited by
Year
Spectral monic Chebyshev approximation for higher order differential equations
M Abdelhakem, A Ahmed, M El-kady
Mathematical Sciences Letters 8 (2), 11-17, 2019
402019
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
372021
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
362019
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
352021
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
332021
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems
ME M. Abdelhakem, Dina Abdelhamied, Maryam G. Alshehri
Fractals 30 (1), 2240038, 2022
282022
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
262021
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
252020
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
202021
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
192022
On ideals and grills in topological spaces
A Kandil, SA El-Sheikh, M Abdelhakem, SA Hazza
South Asian, 2015
142015
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
112023
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
112023
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
92022
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
62023
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
52023
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
52022
Monic gegenbauer approximations for solving differential equations
M. Abdelhakem, Doha M. R., A. F. Saadallah, M. El-Kady
Journal of Scientific and Engineering Research 5 (12), 317-321, 2018
52018
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
42023
Modified shifted Chebyshev residual spectral scheme for even-order BVPs
D Abdelhamied, M Abdelhakem, M El-Kady, YH Youssri
Math. Sci. Lett 12 (1), 15-18, 2023
42023
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