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Modified Finite Element Numerical Method For Solving Conformable Space-Time Fractional Nonlinear Partial Differential Equations

Author

Listed:
  • ADEL RASHAD HADHOUD

    (Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt)

  • FAISAL EZZ-ELDEEN ABD ALAAL

    (Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt)

  • TAHA RADWAN

    (Department of Mathematics, College of Science and Arts, Qassim University, Ar-Rass, Saudi Arabia4Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt)

Abstract

This paper shows how to approximate the solution to a nonlinear conformable space-time fractional partial differential equations. The proposed method is based on the Cubic B-spline polynomials and Galerkin method. Two test problems show that the approach we use to approximate the proposed equation is accurate and efficient. We apply the Von Neumann approach to show that stability requires some conditions.

Suggested Citation

  • Adel Rashad Hadhoud & Faisal Ezz-Eldeen Abd Alaal & Taha Radwan, 2022. "Modified Finite Element Numerical Method For Solving Conformable Space-Time Fractional Nonlinear Partial Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-10, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402472
    DOI: 10.1142/S0218348X22402472
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