The Legendre Spectral-Collocation method for a class of fractional integral equations
Numerical Analysis
2019-07-16 v1
Abstract
In this paper, we consider spectral-collocation method base on Legendre-Gauss-Lobatto point. We present a computational method for solving a class of fractional integral equation of the second kind. Then based on Legendre-Gauss-Lobatto point and using, we derive a system of algebraic equations. The method is illustrated by applications and the results obtained are compared with the exact solutions in open literature. The obtained numerical results show that our proposed method is efficient and accurate for fractional integral equations of second kind. In addition, we prove that the error of the approximate solution decay exponentially in L^2 norm.
Keywords
Cite
@article{arxiv.1802.00915,
title = {The Legendre Spectral-Collocation method for a class of fractional integral equations},
author = {A. Yousefi and S. Javadi and E. Babolian},
journal= {arXiv preprint arXiv:1802.00915},
year = {2019}
}
Comments
18 pages, 5 figures, 1 table. arXiv admin note: text overlap with arXiv:1801.00564