Cakir, MusaGunes, Baransel2025-05-102025-05-1020221072-947X1572-917610.1515/gmj-2021-21302-s2.0-85122761710https://doi.org/10.1515/gmj-2021-2130https://hdl.handle.net/20.500.14720/14261In this study, singularly perturbed mixed integro-differential equations (SPMIDEs) are taken into account. First, the asymptotic behavior of the solution is investigated. Then, by using interpolating quadrature rules and an exponential basis function, the finite difference scheme is constructed on a uniform mesh. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Some numerical examples are solved, and numerical outcomes are obtained.eninfo:eu-repo/semantics/closedAccessDifference SchemeError EstimateFredholm Integro-Differential EquationSingular PerturbationUniform MeshVolterra Integro-Differential EquationArticle292Q3Q2193203WOS:000737751600001