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, ss.248-255, 2016 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 16 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.22436/jmcs.016.02.13
  • Dergi Adı: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
  • Sayfa Sayıları: ss.248-255

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.