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Research Article | Open Access

An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations

Boyu Liu, Wenyan Wang( )
Department of Mathematics, Northeast Forestry University, Harbin 150040, China
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Abstract

A numerical approach is proposed for space fractional partial differential equations by the reproducing kernel approach. Some procedures are presented for improving the existing methods. The presented method is easy to accomplish. Approximate solutions and their partial derivatives are shown to converge to exact solutions, respectively. Experiments show that the presented technique is efficient, and that high-precision global approximate solutions can be obtained.

Keywords

space fractional partial differential equationreproducing kernelexact solutionnumerical approach
CLC number: 35A40, 65N35, 65R20

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 33286-33300
DOI: 10.3934/math.20241588

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Liu B, Wang W. An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations. AIMS Mathematics, 2024, 9(11): 33286-33300. https://doi.org/10.3934/math.20241588

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Received: 29 September 2024
Revised: 09 November 2024
Accepted: 15 November 2024
Published: 22 November 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)