Legendre-Gauss collocation methods for nonlinear neutral delay differential equations

被引：0
|
作者：
Jingjun Zhao
Yang Cao
Yang Xu
机构：
[1] Harbin Institute of Technology,Department of Mathematics
来源：
Advances in Difference Equations | / 2015卷
关键词：
Legendre-Gauss collocation methods; nonlinear neutral delay differential equations; spectral accuracy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an efficient Legendre-Gauss collocation method is introduced for solving nonlinear neutral delay differential equations (NDDEs). Firstly, the single-step Legendre-Gauss collocation method is presented for NDDEs; we analyze the convergence of the method with different delay functions. Then the multi-domain Legendre-Gauss collocation method is presented, which is based on the single-step one; the results of convergence are also obtained. In addition, numerical results are presented to confirm our analysis.
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