The spectral collocation method for solving a fractional integro-differential equation-Reference-Cited by-同舟云学术

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

Published:2022 Issue:6 Volume:7 Page:9577-9587
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wu Chuanhua,Wang Ziqiang

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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