Numerical solution of a singularly perturbed Volterra integro-differential equation

Advances in Difference Equations

Sebaheddin evgin¹ 

[1] Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, Turkey

关键词: singular perturbation;    Volterra integro-differential equations;    difference scheme;    uniform convergence;    graded mesh;   

DOI  :  10.1186/1687-1847-2014-171

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:45J05, 65R20, 65L11.

【 授权许可】

CC BY