A uniform numerical method for dealing with a singularly perturbed delay initial value problem

Amiraliyeva I. G., Erdoğan F., Amiraliyev G. M.

APPLIED MATHEMATICS LETTERS, cilt.23, sa.10, ss.1221-1225, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2010.06.002
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1221-1225
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This work deals with a singularly perturbed initial value problem fora quasi-linear second-order delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented. (C) 2010 Elsevier Ltd. All rights reserved.

This work deals with a singularly perturbed initial value problem for a quasi-linear second-order delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented.