A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations

Erdoğan, Fevzi; Cen, Zhongdi

doi:10.1016/j.cam.2017.11.017

A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations

Atıf İçin Kopyala

Erdoğan F., Cen Z.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.333, ss.382-394, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 333
Basım Tarihi: 2018
Doi Numarası: 10.1016/j.cam.2017.11.017
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.382-394
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to present a uniform finite difference method for the numerical solution of a second order singularly perturbed delay differential equation. The problem is solved by using a hybrid difference scheme on a Shishkin-type mesh. The method is shown to be uniformly convergent with respect to the perturbation parameter. Numerical experiments illustrate in practice the result of convergence proved theoretically. (C) 2017 Elsevier B.V. All rights reserved.