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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/140092026-10-18T20:36:41Zopenairedrivercom_ebyu_10000col_ebyu_10001

A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equationYapman, ÖmerAmiraliyev, Gabil M.finite differencesingular perturbationuniform convergenceVolterra integro-differential equationFinite difference methodMesh generationDifference schemesNon-uniform meshNumerical resultsSecond ordersSingular perturbationsSingularly perturbedVolterra integro-differential equationsIntegrodifferential equationsIn this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of O(N−2 ln N) on a special non-uniform mesh, where N is the mesh parameter. Numerical results are included to verify the theoretical estimates. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.Taylor and Francis Ltd.2020Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/14009https://doi.org/10.1080/00207160.2019.16145650020-7160enInternational Journal of Computer Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/14009