On The Generation for Numerical Solution of Singularly Perturbed Problem with Right Boundary Layer

Abstract

In this study, we propose an important numerical method for the numerical solution of singularlyperturbed convection-diffusion five points boundary value problem using nonuniform mesh. First, we give the somebehaviours of the exact solution and its first derivative. We establish finite difference scheme, which is based oninterpolating quadrature rules. Then, we prove the convergence of difference scheme and it is uniformly convergentin ε perturbation parameter. Furthermore, by a numerical experiment, we demonstrate the efficiency of the proposedmethod