Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

被引：9
|
作者：
Yi, Lijun [1 ,2 ]
Wang, Zhongqing [1 ,2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] E Inst Shanghai Univ, Div Computat Sci, Shanghai 200234, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2014年 / 7卷 / 02期
基金：
高等学校博士学科点专项科研基金; 美国国家科学基金会;
关键词：
Legendre-Gauss spectral collocation method; second order nonlinear delay differential equations; error analysis; INITIAL-VALUE PROBLEMS;
D O I：
10.4208/nmtma.2014.1309nm
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present and analyze a single interval Legendre-Gauss spectral collocation method for solving the second order nonlinear delay differential equations with variable delays. We also propose a novel algorithm for the single interval scheme and apply it to the multiple interval scheme for more efficient implementation. Numerical examples are provided to illustrate the high accuracy of the proposed methods.
引用
收藏
页码：149 / 178
页数：30
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