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

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 nume...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 6; pp. 9577 - 9587
Main Authors Wu, Chuanhua, Wang, Ziqiang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
error analysis
fractional integro-differential equations
numerical algorithm
shifted legendre polynomials
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ISSN2473-6988
2473-6988
DOI10.3934/math.2022532

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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022532