A numerical method for a system of singularly perturbed Fredholm integro-differential reaction–diffusion equation

Abstract

This article provides a dissection and analysis of a singularly perturbed reaction–diffusion second-order system of Fredholm integro-differential equation in qualitative and quantitative ways. To find a numerical solution to this system, the authors present an exponentially-fitted numerical approach that may be applied to a Shishkin mesh. They provide evidence that demonstrates that this approach converges evenly with respect to the perturbation parameter.