MODIFIED FINITE ELEMENT NUMERICAL METHOD FOR SOLVING CONFORMABLE SPACE-TIME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Adel Rashad Hadhoud (), Faisal Ezz-Eldeen Abd Alaal () and Taha Radwan
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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

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-10

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.

Keywords: Space-Time Fractional Partial Differential Equation; Galerkin Method; Cubic B-Spline Polynomials; Von Neumann Method; Stability (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402472

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