A finite-difference method for a singularly perturbed delay integro-differential equation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.308, pp.379-390, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 308
- Publication Date: 2016
- Doi Number: 10.1016/j.cam.2016.06.018
- Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.379-390
- Erzincan Binali Yildirim University Affiliated: Yes
Abstract
We consider the singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. Our purpose is to construct and analyse a numerical method with uniform convergence in the perturbation parameter. The numerical solution of this problem is discretized using implicit difference rules for differential part and the composite numerical quadrature rules for integral part. On a layer adapted mesh error estimations for the approximate solution are established. Numerical examples supporting the theory are presented. (C) 2016 Elsevier B.V. All rights reserved.