  This report addresses the boundary value problem for a second-order linear
singularly perturbed FIDE. Traditional methods for solving these equations
often face stability issues when dealing with small perturbation parameters. We
propose an exact finite difference method to solve these equations and provide
a detailed stability and $\varepsilon$-uniform convergence analysis. Our
approach is validated with an example, demonstrating its uniform convergence
and applicability, with a convergence order of 1. The results illustrate the
method's robustness in handling perturbation effects efficiently.
