Cakir, M.Cimen, E.2025-05-102025-05-1020230965-54251555-666210.1134/S09655425231000202-s2.0-85176963675https://doi.org/10.1134/S0965542523100020https://hdl.handle.net/20.500.14720/9759In this paper, the initial value problem for the second order singularly perturbed Volterra integro-differential equation is considered. To solve this problem, a finite difference scheme is constructed, which based on the method of integral identities using interpolating quadrature rules with remainder terms in integral form. As a result of the error analysis, it is proved that the method is first-order convergent uniformly with respect to the perturbation parameter in the discrete maximum norm. Numerical experiments supporting the theoretical results are also presented.eninfo:eu-repo/semantics/closedAccessFinite Difference MethodSingular PerturbationUniform ConvergenceVolterra Integro-Differential EquationArticle6310Q4Q318001816WOS:001104729700002