A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

被引：0
|
作者：
Lijun Yi
Zhongqing Wang
机构：
[1] Shanghai Normal University,Department of Mathematics
[2] University of Shanghai for Science and Technology,College of Science
[3] E-Institute of Shanghai Universities,Division of Computational Science
来源：
Calcolo | 2016年 / 53卷
关键词：
Spectral collocation method; Nonlinear delay differential equations; Error analysis; 65M70; 65L05; 65L06; 65L70; 41A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a single-step Legendre–Gauss–Radau spectral collocation method for solving the first order nonlinear delay differential equations with variable delay, and analyze its convergence. We also propose two fast and efficient algorithms for the single-step scheme and apply them to the multiple interval case. Numerical results show that the suggested algorithms enjoy high order accuracy.
引用
收藏
页码：691 / 721
页数：30
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