Year: 2015
Author: Xi Yang, Zhongqing Wang
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 1 : pp. 59–85
Abstract
In this paper, we introduce an efficient Chebyshev-Gauss spectral collocation method for initial value problems of ordinary differential equations. We first propose a single interval method and analyze its convergence. We then develop a multi-interval method. The suggested algorithms enjoy spectral accuracy and can be implemented in stable and efficient manners. Some numerical comparisons with some popular methods are given to demonstrate the effectiveness of this approach.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1405-m4368
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 1 : pp. 59–85
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Initial value problems of ordinary differential equations Chebyshev-Gauss spectral collocation method Spectral accuracy.