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 | 40 | 2021 |
Spectral monic Chebyshev approximation for higher order differential equations M Abdelhakem, A Ahmed, M El-kady Mathematical Sciences Letters 8 (2), 11-17, 2019 | 40 | 2019 |
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 | 39 | 2021 |
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 | 37 | 2019 |
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 | 33 | 2021 |
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems ME M. Abdelhakem, Dina Abdelhamied, Maryam G. Alshehri Fractals 30 (1), 2240038, 2022 | 30 | 2022 |
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 | 27 | 2021 |
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 | 25 | 2020 |
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 | 21 | 2021 |
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 | 20 | 2022 |
On ideals and grills in topological spaces A Kandil, SA El-Sheikh, M Abdelhakem, SA Hazza South Asian, 2015 | 14 | 2015 |
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 | 13 | 2023 |
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 | 12 | 2023 |
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 | 10 | 2022 |
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 | 7 | 2023 |
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 | 6 | 2023 |
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 | 6 | 2022 |
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 | 5 | 2023 |
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 | 5 | 2018 |
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 | 4 | 2023 |