An ε-uniform hybrid scheme for singularly perturbed delay differential equations

被引：5

作者：

Bawa, Rajesh K. ^{[2
]}

Lal, A. K. ^{[1
]}

Kumar, Vinod ^{[1
]}

机构：

[1] Thapar Univ, SMCA, Patiala 147004, Punjab, India

[2] Punjabi Univ, Dept Comp Sci, Patiala 147002, Punjab, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 21期

关键词：

Singular perturbation; Delay differential equation; Truncation error; Shishkin mesh; Backward difference operator; Hybrid scheme;

D O I：

10.1016/j.amc.2011.02.089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a singularly perturbed delay differential equation of first order has been considered. The problem is solved by using a hybrid scheme on a Shishkin mesh. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Truncation errors are obtained. Finally, numerical experiments are carried out on a test problem, confirming the effectiveness of the proposed technique. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：8216 / 8222

页数：7

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