A uniform numerical method for dealing with a singularly perturbed delay initial value problem

Amiraliyeva, I. G.Erdogan, F.Amiraliyev, G. M.2025-03-232025-03-2320100893-9659https://doi.org/10.1016/j.aml.2010.06.002https://hdl.handle.net/11486/6713This 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.eninfo:eu-repo/semantics/closedAccessDelay differential equationSingular perturbationExponentially fitted difference schemeUniformly convergentError estimatesA uniform numerical method for dealing with a singularly perturbed delay initial value problemArticle23101221122510.1016/j.aml.2010.06.0022-s2.0-77955421776Q1WOS:000280890900018Q1