Advances in Difference Equations
Volume 2009 (2009), Article ID 781579, 9 pages
Research Article

An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations

Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080 Van, Turkey

Received 4 November 2008; Accepted 16 January 2009

Academic Editor: Istvan Gyori

Copyright © 2009 Fevzi Erdogan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.