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.
Author Details
-
A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations
Wang, Zhong-Qing | Mu, JunNumerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 P.619
https://doi.org/10.4208/nmtma.2016.m1429 [Citations: 8] -
Stability prediction of thin-walled workpiece made of Al7075 in milling based on shifted Chebyshev polynomials
Yan, Zhenghu | Liu, Zhibing | Wang, Xibin | Liu, Biao | Luo, Zhiwen | Wang, DongqianThe International Journal of Advanced Manufacturing Technology, Vol. 87 (2016), Iss. 1-4 P.115
https://doi.org/10.1007/s00170-016-8476-9 [Citations: 15] -
A Successive Pseudospectral-Based Approximation of the Solution of Regulator Equations
Pirastehzad, Armin | Yazdanpanah, Mohammad JavadIEEE Transactions on Automatic Control, Vol. 67 (2022), Iss. 4 P.1760
https://doi.org/10.1109/TAC.2021.3079185 [Citations: 2]