Finite difference method for solving fractional differential equations at irregular meshes

Antonio M. Vargas

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 193, issue C, 204-216

Abstract: This paper presents a novel meshless technique for solving a class of fractional differential equations based on moving least squares and on the existence of a fractional Taylor series for Caputo derivatives. A “Generalized Finite Difference” approach is followed in order to derive a simple discretization of the space fractional derivatives. Consistency, stability and convergence of the method are proved. Several examples illustrating the accuracy of the method are given.

Keywords: Meshless method; Fractional differential equations; Caputo fractional derivative (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:193:y:2022:i:c:p:204-216

DOI: 10.1016/j.matcom.2021.10.010

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