A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations

被引：13
|
作者：
Hemavathi, S. [1 ]
Bhuvaneswari, T. [1 ]
Valarmathi, S. [1 ]
Miller, J. J. H. [2 ]
机构：
[1] Bishop Heber Coll, Dept Math, Tiruchirappalli 620017, Tamil Nadu, India
[2] Trinity Coll Dublin, Dept Math, Dublin, Ireland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期
关键词：
system of differential equations; initial value problems; singular perturbation problems; initial-boundary layers; finite difference schemes; fitted mesh; BOUNDARY-VALUE-PROBLEMS; APPROXIMATION;
D O I：
10.1016/j.amc.2006.05.218
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper an initial value problem for a system of singularly perturbed ordinary differential equations is considered. A parameter robust computational method is constructed and it is proved that it gives essentially first order parameter-uniform convergence in the maximum norm. Numerical results are presented in support of the theory. (c) 2006 Published by Elsevier Inc.
引用
收藏
页码：1 / 11
页数：11
相关论文
共 50 条
12345