Durmaz, Muhammet EnesAmirali, IlhameMohapatra, JugalAmiraliyev, Gabil M.2024-08-232024-08-2320230168-92741873-5460https://doi.org/10.1016/j.apnum.2023.05.008https://hdl.handle.net/20.500.12684/14424We consider a singularly perturbed problem for a nonlinear first-order Fredholm integrodifferential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the epsilon-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.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.en10.1016/j.apnum.2023.05.008info:eu-repo/semantics/closedAccessUniform convergenceFinite difference methodsIntegro-differential equationRichardson extrapolationSingular perturbationA second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equationArticle19117282-s2.0-85160013794WOS:001011467200001Q1Q1