A CHEBYSHEV-GAUSS SPECTRAL COLLOCATION METHOD FOR ODRINARY DIFFERENTIAL EQUATIONS

被引：4
|
作者：
Yang, Xi [1 ]
Wang, Zhongqing
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2015年 / 33卷 / 01期
关键词：
Initial value problems of ordinary differential equations; Chebyshev-Gauss spectral collocation method; Spectral accuracy; INITIAL-VALUE PROBLEMS; INTEGRATION PROCESSES; ELEMENT METHODS; TIME;
D O I：
10.4208/jcm.1405-m4368
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：59 / 85
页数：27
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