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
收藏
页码：1221 / 1225
页数：5
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