Contact

All Stories

  1. Spectral algorithm for fractional BVPs via novel modified Chebyshev polynomials fractional derivatives

    Article • Mathematical Modelling and Analysis, November 2025, Vilnius Gediminas Technical University

    Dr Mohamed Ahmed Abdelhakem

  2. Pseudo-spectral second kind Chebyshev polynomials differentiation matrices for solving high-order nonlinear differential equations

    Article • Journal of Applied Mathematics and Computing, August 2025, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

  3. PSEUDOSPECTRAL FRACTIONAL DIFFERENTIATION MATRICES FOR SOLVING RICCATI AND BAGLEY–TORVIK FRACTIONAL MODELS VIA MIXED SHIFTED POLYNOMIALS

    Article • Fractals, July 2025, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

  4. MONIC CHEBYSHEV’S FIRST DERIVATIVE PSEUDO-GALERKIN METHOD FOR SOLVING LINEAR AND NONLINEAR IBVPS: REAL-LIFE AND PHYSICAL APPLICATIONS

    Article • Fractals, July 2025, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

  5. Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

    Article • Boundary Value Problems, March 2025, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

  6. Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations

    Article • Computational and Applied Mathematics, September 2024, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Alexandria Engineering Journal, September 2024, Elsevier

    Dr Mohamed Ahmed Abdelhakem

  8. Spectral Tau Explicit Form for Approximating Solutions to Real-Life IBVPs Using Chebyshev Derivatives

    Article • International Journal of Geometric Methods in Modern Physics, August 2024, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

  9. Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method

    Article • International Journal of Modern Physics C, January 2024, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

  10. Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs

    Article • Journal of Applied Mathematics and Computing, August 2023, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

  11. Modified shifted Chebyshev residual spectral scheme for even-order BVPs

    Article • Mathematical Sciences Letters, January 2023, Natural Sciences Publishing

    Dr Mohamed Ahmed Abdelhakem

  12. SHIFTED LEGENDRE FRACTIONAL PSEUDO-SPECTRAL INTEGRATION MATRICES FOR SOLVING FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS AND ABEL’S INTEGRAL EQUATIONS

    Article • Fractals, January 2023, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

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

    Article • AIMS Mathematics, January 2023, American Institute of Mathematical Sciences (AIMS)

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Results in Physics, December 2022, Elsevier

    Dr Mohamed Ahmed Abdelhakem

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

    Article • International Journal of Modern Physics C, September 2022, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem, Professor Praveen Agarwal

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

    Article • Computational and Applied Mathematics, July 2022, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Applied Numerical Mathematics, November 2021, Elsevier

    Dr Mohamed Ahmed Abdelhakem

  18. The Effects of Magnetic Field on Boundary Layer Nano-fluid Flow Over Stretching Sheet

    Article • Applied Mathematics & Information Sciences, November 2021, Natural Sciences Publishing

    Dr Mohamed Ahmed Abdelhakem

  19. SHIFTED LEGENDRE FRACTIONAL PSEUDOSPECTRAL DIFFERENTIATION MATRICES FOR SOLVING FRACTIONAL DIFFERENTIAL PROBLEMS

    Article • Fractals, October 2021, World Scientific Pub Co Pte Lt

    Dr Mohamed Ahmed Abdelhakem

  20. Approximating Real-Life BVPs via Chebyshev Polynomials’ First Derivative Pseudo-Galerkin Method

    Article • Fractal and Fractional, October 2021, MDPI AG

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Mathematical Methods in the Applied Sciences, March 2021, Wiley

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Advances in Difference Equations, February 2021, Springer Science + Business Media

    Dr Mohamed Ahmed Abdelhakem

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

    Article • Information Sciences Letters, September 2020, Natural Sciences Publishing

    Dr Mohamed Ahmed Abdelhakem

  24. Shifted Chebyshev schemes for solving fractional optimal control problems

    Article • Journal of Vibration and Control, June 2019, SAGE Publications

    Dr Mohamed Ahmed Abdelhakem

  25. Spectral Monic Chebyshev Approximation for Higher Order Differential Equations

    Article • Mathematical Sciences Letters, May 2019, Natural Sciences Publishing

    Dr Mohamed Ahmed Abdelhakem