Uniform difference method for singularly perturbed Volterra integro-differential equations

被引：33

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.

引用

页码：731 / 741

页数：11

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