Open AccessThe spectral collocation method for solving a fractional integro-differential equation
Author(s) -
Chuanhua Wu,
Ziqiang Wang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022532
Subject(s) - legendre polynomials , mathematics , gaussian quadrature , collocation method , collocation (remote sensing) , quadrature (astronomy) , convergence (economics) , exponential function , spectral method , gauss , differential equation , mathematical analysis , nyström method , integral equation , computer science , physics , ordinary differential equation , quantum mechanics , machine learning , economic growth , optics , economics
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.