A Hybrid Difference Scheme for Singularly Perturbed Second Order Ordinary Differential Equations With Discontinuous Convection Coefficient and Mixed Type Boundary Conditions

Abstract

This paper presents, a hybrid difference scheme for singularly perturbed second order ordinary differential equations with a small parameter multiplying the highest derivative with a discontinuous convection coefficient subject to mixed type boundary conditions. Error bounds for the numerical solution and numerical derivative are established. Numerical results are provided to illustrate the theoretical results.