Durmaz, Muhammet Enes2022-12-292022-12-292022https://doi.org/10.31801/cfsuasmas.1072728http://hdl.handle.net/20.500.12575/86606The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.enFinite difference method, Fredholm integro-differential equation, singular perturbation, uniform convergenceParameter uniform second-order numerical approximation for the integro-differential equations involving boundary layersArticle7149549671303-5991