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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/122952026-10-18T20:36:46Zopenairedrivercom_ebyu_10000col_ebyu_10001

Method of Exact Difference Schemes for the Numerical Solution of Parameterized Singularly Perturbed ProblemYapman, ÖmerKudu, MustafaAmiraliyev, Gabil M.finite difference methodparameterized problemsingular perturbationuniform convergenceVolterra integro-differential equationIn this paper, we study a uniform finite difference method for the first-order singularly perturbed Volterra integro-differential problem depending on a parameter. We prove that the method is uniform second-order convergent except for a logarithmic factor in the discrete maximum norm. Numerical results are presented which are in agreement with the theoretical analysis. © 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.Birkhauser2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12295https://doi.org/10.1007/s00009-023-02360-y1660-5446enMediterranean Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12295