Non-standard finite difference scheme for system of singularly perturbed Fredholm integro-differential equations

This article solves computationally a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations. A non-standard finite difference approach applies the derivative components, whereas the composite trapezoidal rule handles the integral components. The proposed computational method for a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations exhibits a convergence rate of order two. An computational example is provided to substantiate the efficacy of the theoretical results.

Keywords:

Singular perturbation , coupled system , fitted operator , Fredholm integral , boundary layer