Journal of Applied Mathematics 
Volume 2004 (2004), Issue 3, Pages 191-199
doi:10.1155/S1110757X0440103X

Finite-difference method for parameterized singularly perturbed problem

G. M. Amiraliyev,1 Mustafa Kudu,2 and Hakki Duru1

 1Department of Mathematics, Faculty of Science, Yuzuncu Yil University, Van 65080, Turkey
2Department of Mathematics, Faculty of Education, Dicle University, Siirt, Diyarbakir 21280, Turkey
Received 9 January 2004; Revised 22 April 2004

Abstract

We study uniform finite-difference method for solving first-order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution. Numerical results support the theoretical analysis.