Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem

Çakır, Musa; AMİRALİ, İLHAME; KUDU, MUSTAFA; Amiraliyev, Gabli

doi:10.22436/jmcs.016.02.13

Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem

Çakır M., AMİRALİ İ., KUDU M., Amiraliyev G. M.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, cilt.16, sa.2, ss.248-255, 2016 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 16 Sayı: 2
Basım Tarihi: 2016
Doi Numarası: 10.22436/jmcs.016.02.13
Dergi Adı: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.248-255
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This work deals with the singularly perturbed periodical boundary value problem for a quasilinear second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results supporting the theory are presented. (C) 2016 All rights reserved.