An initial-value approach for solving singularly perturbed two-point boundary value problems

被引：30
|
作者：
Reddy, YN [1 ]
Chakravarthy, PP
机构：
[1] Natl Inst Technol, Dept Math, Warangal 506004, Andhra Pradesh, India
[2] Kakatiya Inst Technol & Sci, Dept Math, Warangal 506015, Andhra Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 155卷 / 01期
关键词：
singular perturbation problems; two-point boundary value problems; ordinary differential equations; boundary layer; initial-value approach;
D O I：
10.1016/s0096-3003(03)00763-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper an initial-value approach is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. This approach is based on the boundary layer behavior of the solution. The method is distinguished by the following fact: The given singularly perturbed two-point boundary value problem is replaced by three first order initial-value problems. Several linear and non-linear problems are solved to demonstrate the applicability of the method. It is observed that the present method approximates the exact solution very well. (C) 2003 Published by Elsevier Inc.
引用
收藏
页码：95 / 110
页数：16
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