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Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference methodDurmaz, Muhammet EnesCakir, MusaAmirali, IlhameAmiraliyev, Gabil M.Finite difference methodsFredholm integro-differential equationShishkin meshSingular perturbationUniform convergenceConvergence of numerical methodsIntegrodifferential equationsDifference methodFinite-difference methodsFredholm equationFredholm integro-differential equationsNumerical solutionSecond ordersShishkin meshesSingular perturbationsSingularly perturbedFinite difference methodThis work presents a computational approximate to solve singularly perturbed Fredholm integro-differential equation with the reduced second type Fredholm equation. This problem is discretized by a finite difference approximate, which generates second-order uniformly convergent numerical approximations to the solution. Parameter-uniform approximations are generated using Shishkin type meshes. The performance of the numerical scheme is tested which supports the effectiveness of the technique. © 2022 Elsevier B.V.Elsevier B.V.2022Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12631https://doi.org/10.1016/j.cam.2022.1143270377-0427enJournal of Computational and Applied Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12631