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Research Article | Open Access

The spectral collocation method for solving a fractional integro-differential equation

Chuanhua Wu, Ziqiang Wang( )
School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, 550025, China
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Abstract

In this paper, we propose a high-precision numerical algorithm for a fractional integro-differential equation based on the shifted Legendre polynomials and the idea of Gauss-Legendre quadrature rule and spectral collocation method. The error analysis of this method is also given in detail. Some numerical examples are give to illustrate the exponential convergence of our method.

Keywords

fractional integro-differential equationsnumerical algorithmshifted Legendre polynomialserror analysis
CLC number: 26A33, 65M15, 65M70

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 9577-9587
DOI: 10.3934/math.2022532

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Cite this article:
Wu C, Wang Z. The spectral collocation method for solving a fractional integro-differential equation. AIMS Mathematics, 2022, 7(6): 9577-9587. https://doi.org/10.3934/math.2022532

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Received: 07 September 2021
Revised: 26 February 2022
Accepted: 07 March 2022
Published: 15 June 2022
©2022 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)