A note on a parameterized singular perturbation problem


Amiraliyev G. , DURU H.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.182, ss.233-242, 2005 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 182 Konu: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.cam.2004.11.047
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayısı: ss.233-242

Özet

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results. (c) 2004 Elsevier B.V All rights reserved.