Erdogan, Fevzi2025-05-102025-05-1020091687-183910.1155/2009/7815792-s2.0-63849106016https://doi.org/10.1155/2009/781579https://hdl.handle.net/20.500.14720/9596This 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. Copyright (C) 2009 Fevzi Erdogan.eninfo:eu-repo/semantics/openAccessArticleN/AN/AWOS:000264799400001