Durmaz, Muhammet Enes; Amirali, Ilhame; Mohapatra, Jugal; Amiraliyev, Gabil M.

We consider a singularly perturbed problem for a nonlinear first-order Fredholm integro-differential equation. Our aim is to build and analyze a numerical approach with uniform convergence in the ε-parameter. The numerical solution of problem is discretized utilizing interpolation quadrature formulas for the differential part and the composite rectangular rule for the integral part. Error estimations for the approximate solution are established. In support of the idea, numerical examples are provided.