A uniformly almost second order convergent numerical method for singularly perturbed delay differential equations
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.333, ss.382-394, 2018 (SCI-Expanded, Scopus)
- 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.