Numerical solution of a singularly perturbed Volterra integro-differential equation

被引：0
|
作者：
Sebaheddin Şevgin
机构：
[1] Yuzuncu Yil University,Department of Mathematics, Faculty of Sciences
来源：
Advances in Difference Equations | / 2014卷
关键词：
singular perturbation; Volterra integro-differential equations; difference scheme; uniform convergence; graded mesh;
D O I：
暂无
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学科分类号：
摘要：
We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments are presented, which are in agreement with the theoretical results.
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