A note on a parameterized singular perturbation problem
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.182, no.1, pp.233-242, 2005 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 182 Issue: 1
- Publication Date: 2005
- Doi Number: 10.1016/j.cam.2004.11.047
- Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.233-242
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
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.
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.