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.