Solution of Two-Parameers Singulrly Perturbed Boundary Value Problem using Completely Exponential Fitted Modified Upwind Finite Difference Method

Abstract

In this paper, we build a completely exponentially fitted modified upwind finite difference method for solving two-parameters singularly perturbed boundary value problems on a uniform mesh. Because the problem has dual layers, we divide the domain into two subintervals and develop the discretization equation for the problem using two fitting factors that take care of the problem's two parameters. We solve the discretization equation by using discrete invariant imbedding. We establish the convergence of the method and tabulate the maximum absolute errors with comparisons for the standard examples selected from the literature to demonstrate the method's efficiency.