Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations

被引：12
|
作者：
Yi Li-jun [1 ,2 ]
Liang Zi-qiang [1 ]
Wang Zhong-qing [1 ,2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Shanghai Univ E Inst, Div Computat Sci, Shanghai 200234, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 18期
基金：
高等学校博士学科点专项科研基金;
关键词：
Legendre-Gauss-Lobatto spectral collocation method; nonlinear delay differential equations; error analysis; INITIAL-VALUE PROBLEMS; INTEGRATION PROCESSES; NUMERICAL-SOLUTION; TIME; DISCRETIZATION; CONVERGENCE; STABILITY;
D O I：
10.1002/mma.2769
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Legendre-Gauss-Lobatto spectral collocation method is introduced for the numerical solutions of a class of nonlinear delay differential equations. An efficient algorithm is designed for the single-step scheme and applied to the multiple-domain case. As a theoretical result, we obtain a general convergence theorem for the single-step case. Numerical results show that the suggested algorithm enjoys high-order accuracy both in time and in the delayed argument and can be implemented in a robust and efficient manner. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：2476 / 2491
页数：16
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