Uniform difference method for singularly perturbed Volterra integro-differential equations

被引：30
|
作者：
Amiraliyev, G. M. [1 ]
Sevgin, Sebaheddin [1 ]
机构：
[1] Yuzuncu Yil Univ, Fac Art & Sci, Dept Math, TR-65080 Van, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 02期
关键词：
singular perturbation; Volterra integro-differential equations; difference scheme; uniform convergence; boundary layer;
D O I：
10.1016/j.amc.2005.11.155
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Singularly perturbed Volterra integro-differential equations is considered. An exponentially fitted difference scheme is constructed in a uniform mesh which gives first order uniform convergence in the discrete maximum norm. Numerical experiments support the theoretical results. (c) 2006 Elsevier Inc. All rights reserved.
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页码：731 / 741
页数：11
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