TY - JOUR
T1 - A Chebyshev-Gauss Spectral Collocation Method for Ordinary Differential Equations
AU - Yang , Xi
AU - Wang , Zhongqing
JO - Journal of Computational Mathematics
VL - 1
SP - 59
EP - 85
PY - 2015
DA - 2015/02
SN - 33
DO - http://doi.org/10.4208/jcm.1405-m4368
UR - https://global-sci.org/intro/article_detail/jcm/9827.html
KW - Initial value problems of ordinary differential equations, Chebyshev-Gauss
spectral collocation method, Spectral accuracy.
AB - <p style="text-align: justify;">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.</p>