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A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equationDurmaz, Muhammet EnesAmirali, IlhameMohapatra, JugalAmiraliyev, Gabil M.Finite difference methodsIntegro-differential equationRichardson extrapolationSingular perturbationUniform convergenceConvergence of numerical methodsFredholm integral equationsIntegrodifferential equationsNonlinear equationsFinite-difference methodsFirst orderFredholm integro-differential equationsNumerical approximationsSecond ordersSingular perturbationsSingularly perturbedSingularly perturbed problemFinite difference methodWe consider a singularly perturbed problem for a nonlinear first-order Fredholm integro-differential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the ε-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided. © 2023 IMACSElsevier B.V.2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12333https://doi.org/10.1016/j.apnum.2023.05.0080168-9274enApplied Numerical Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12333