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Uniform Convergence Method for a Delay Differential Problem with Layer BehaviourCimen, ErkanAmiraliyev, Gabil M.boundary-value problemdelay differential equationShishkin meshSingular perturbationuniform convergenceDifference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a linear second-order delay differential equation is examined. It is proved that it gives essentially a first-order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory. © 2019, Springer Nature Switzerland AG.Birkhauser Verlag AG2019Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13549https://doi.org/10.1007/s00009-019-1335-91660-5446enMediterranean Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13549