Amirali, I.Durmaz, M.E.Acar, H.Amiraliyev, G.M.2024-08-232024-08-2320231742-6588https://doi.org/10.1088/1742-6596/2514/1/012003https://hdl.handle.net/20.500.12684/147412nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022 -- 4 October 2022 through 7 October 2022 -- Virtual, Online -- 189205In this work, we consider first-order singularly perturbed quasilinear Fredholm integro-differential equation with integral boundary condition. Building a numerical strategy with uniform ?-parameter convergence is our goal. With the use of exponential basis functions, quadrature interpolation rules and the method of integral identities, a fitted difference scheme is constructed and examined. The weight and remainder term are both expressed in integral form. It is shown that the method exhibits uniform first-order convergence of the perturbation parameter. Error estimates for the approximation solution are established and a numerical example is given to validate the theoretical findings. © Published under licence by IOP Publishing Ltd.en10.1088/1742-6596/2514/1/012003info:eu-repo/semantics/openAccessBoundary conditionsFredholm integral equationsIntegrodifferential equationsNonlinear equationsDifference schemesExponential basis functionsFirst orderFredholm integro-differential equationsIntegral boundary conditionsIntegral identitiesNumerical strategiesParameter convergenceQuasi-linearSingularly perturbedNumerical methodsConference Object251412-s2.0-85164254131N/A