A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

被引：32
作者：
Yapman, Omer [1 ]
Amiraliyev, Gabil M. [1 ]
机构：
[1] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, TR-24100 Erzincan, Turkey
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 06期
关键词：
Volterra integro-differential equation; singular perturbation; finite difference; uniform convergence; DIFFERENCE SCHEME;
D O I：
10.1080/00207160.2019.1614565
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of on a special non-uniform mesh, where N is the mesh parameter. Numerical results are included to verify the theoretical estimates.
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页码：1293 / 1302
页数：10
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