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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/126102026-10-18T20:56:43Zopenairedrivercom_ebyu_10000col_ebyu_10001

Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary conditionDurmaz, Muhammet EnesAmiraliyev, Gabil M.Kudu, MustafaFinite difference methodsFredholm integro differential equationShishkin meshSingular perturbationUniform convergenceIn this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained. © TÜBİTAKTUBITAK2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12610https://doi.org/10.3906/mat-2109-111300-0098enTurkish Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12610