The convergence of a finite difference method on layer-adapted mesh for a singularly perturbed system

Amiraliyev G.

APPLIED MATHEMATICS AND COMPUTATION, vol.162, no.3, pp.1023-1034, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 162 Issue: 3
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.01.015
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1023-1034
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This paper is concerned with the numerical solution for singular perturbation system of two coupled ordinary differential equations with first and second orders and with initial and boundary conditions, respectively. Finite difference scheme on a special non-uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed. Numerical results supporting the theory are presented. (C) 2004 Elsevier Inc. All rights reserved.