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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/144302026-10-18T20:36:44Zopenairedrivercom_ebyu_10000col_ebyu_10001

On the volterra delay-integro-differential equation with layer behavior and its numerical solutionAmiraliyev, Gabil M.Yapman, ÖmerFinite differenceSingular perturbationUniform convergenceVolterra delay-integro-differential equationIn this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall's inequality with delay. A numerical test that confirms the theoretical results is presented. © 2019 Miskolc University Press.University of Miskolc2019Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/14430https://doi.org/10.18514/mmn.2019.24241787-2405enMiskolc Mathematical Notesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14430