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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/130752026-10-18T20:36:44Zopenairedrivercom_ebyu_10000col_ebyu_10001

Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equationYapman, ÖmerAmiraliyev, Gabil M.Finite difference methodSingular perturbationUniform convergenceVolterra delay-integro-differential equationIntegrodifferential equationsNumerical methodsPerturbation techniquesConvergence analysisFinitedifference methods (FDM)Perturbation parametersSecond ordersSingular perturbationsSingularly perturbedVolterraVolterrum delay-integro-differential equationA linear Volterra delay-integro-differential equation with a singular perturbation parameter ε is considered. The problem is discretized using exponentially fitted schemes on the Shishkin type meshes. It is proved that the numerical approximations generated by this method are O(N−2lnN) convergent in the discrete maximum norm, where N is the mesh parameter. Numerical results show a good agreement with the theoretical analysis. © 2021 Elsevier LtdElsevier Ltd2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13075https://doi.org/10.1016/j.chaos.2021.1111000960-0779enChaos, Solitons and Fractalsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13075