A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

被引：13
|
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, Guangzhou 510521, Guangdong, Peoples R China
[3] Sci Comp Key Lab Shanghai Univ, Shanghai 200041, Peoples R China
[4] Shanghai Univ E Inst, Div Computat Sci, Shanghai 200041, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2011年 / 4卷 / 02期
关键词：
Laguerre-Gauss collocation method using modified Laguerre functions; initial value problems of second-order ODEs; KUTTA-NYSTROM METHODS; DIFFERENTIAL-EQUATIONS; PSEUDOSPECTRAL METHOD; UNBOUNDED-DOMAINS; INTEGRATION;
D O I：
10.4208/nmtma.2011.42s.9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a collocation method for solving initial value problems of second-order ODEs by using modified Laguerre functions. This new process provides global numerical solutions. Numerical results demonstrate the efficiency of the proposed algorithm.
引用
收藏
页码：283 / 295
页数：13
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