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

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页码：283 / 295

页数：13

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