A uniform numerical method for dealing with a singularly perturbed delay initial value problem

被引：43

作者：

Amiraliyeva, I. G. ^{[1
]}

Erdogan, F. ^{[2
]}

Amiraliyev, G. M. ^{[1
]}

机构：

[1] Sinop Univ, Fac Sci, Dept Math, TR-57000 Sinop, Turkey

[2] Yuzuncu Yil Univ, Fac Art & Sci, Dept Math, TR-65080 Van, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 10期

关键词：

Delay differential equation; Singular perturbation; Exponentially fitted difference scheme; Uniformly convergent; Error estimates; BOUNDARY-VALUE-PROBLEMS; DIFFERENCE; EQUATIONS;

D O I：

10.1016/j.aml.2010.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with a singularly perturbed initial value problem fora quasi-linear second-order delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1221 / 1225

页数：5

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