Laguerre-Gauss collocation method for initial value problems of second order ODEs

被引：5
作者：
Yan, Jian-ping [1 ,2 ]
Guo, Ben-yu [1 ,3 ,4 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China
[3] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
[4] E Inst Shanghai Univ, Div Computat Sci, Shanghai 200234, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Laguerre-Gauss collocation method; initial value problem; second order ODEs; KUTTA-NYSTROM METHODS; NUMERICAL-INTEGRATION; MULTISTEP METHODS; STABLE METHODS; Y'';
D O I：
10.1007/s10483-011-1522-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes a new collocation method for initial value problems of second order ODEs based on the Laguerre-Gauss interpolation. It provides the global numerical solutions and possesses the spectral accuracy. Numerical results demonstrate its high efficiency.
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页码：1541 / 1564
页数：24
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