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, ss.1221-1225, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2010.06.002
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayısı: ss.1221-1225

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.