A finite-difference method for a singularly perturbed delay integro-differential equation

KUDU, MUSTAFA; Amirali, Ilhame; AMIRALIYEV, GABİL

doi:10.1016/j.cam.2016.06.018

A finite-difference method for a singularly perturbed delay integro-differential equation

Atıf İçin Kopyala

KUDU M., Amirali I., AMIRALIYEV G.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.308, ss.379-390, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 308
Basım Tarihi: 2016
Doi Numarası: 10.1016/j.cam.2016.06.018
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.379-390
Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

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.