A finite difference method for the singularly perturbed problem with nonlocal boundary condition


Cakir M., Amiraliyev G.

APPLIED MATHEMATICS AND COMPUTATION, vol.160, no.2, pp.539-549, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 160 Issue: 2
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2003.11.035
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.539-549
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

The purpose of this paper is to present a finite difference method for numerical solutions of singularly perturbed boundary value problem for second order ordinary differential equation with nonlocal boundary condition. By the method of integral identities with the use exponential basis functions and interpolating quadrature rules with the weight and remainder term in integral form an exponentially fitted difference scheme on an uniform mesh is developed which is shown to be original F-uniformly first order accurate in the discrete maximum norm for original problem. Numerical results are presented, which illustrate the theoretical results. (C) 2004 Elsevier Inc. All rights reserved.