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Öğe A uniform numerical method for dealing with a singularly perturbed delay initial value problem(Pergamon-Elsevier Science Ltd, 2010) Amiraliyeva, I. G.; Erdogan, F.; Amiraliyev, G. M.This work deals with a singularly perturbed initial value problem fora quasi-linear second-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. Numerical results are also presented. (C) 2010 Elsevier Ltd. All rights reserved.