Browsing by Author "Ekinci, Y."

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    A Uniform Numerical Method for Solving a Singularly Perturbed Neutral Delay Differential Equation
    (Pleiades Publishing Ltd, 2025) Ekinci, Y.; Cimen, E.; Cakir, M.
    In this paper, we deal with a singularly perturbed neutral-type delay differential problem. To solve this problem numerically, we construct a novel difference scheme on a layer-adapted mesh with the finite difference method by using interpolated quadrature rules with remainder terms in integral form. We prove that this scheme is first-order uniformly convergent with respect to the small perturbation parameter in discrete maximum norm. We also present numerical experiments which confirm the theoretical findings.