A Computational technique for solving Singularly Perturbed Boundary Value Problems

Abstract

This paper presents a computational technique for solving singularly perturbed boundary value problems with the boundary layer at one end. This technique is a non-iterative on small deviating argument which converts the original second order boundary value problem to the first order differential equation with the deviating argument. We use the trapezoidal method on the first order differential equation; tridiagonal scheme is obtained and is solved efficiently. Numerical examples show the validity of the present method.