Numerical solution of a singularly perturbed Volterra integro-differential equation

被引：30
作者：
Sevgin, Sebaheddin [1 ]
机构：
[1] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
singular perturbation; Volterra integro-differential equations; difference scheme; uniform convergence; graded mesh; UNIFORM DIFFERENCE METHOD; RUNGE-KUTTA METHODS; INTEGRAL-EQUATIONS; EXPONENTIAL-TYPE; SYSTEMS;
D O I：
10.1186/1687-1847-2014-171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：15
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