Solving Singular Perturbed Boundary Value Problems By using Semi-Analytic Method

Abstract

this paper, we suggest sufficied a method for solving a class of singularly perturbed boundary value problems (SPPBVP). The method is proposed the semi analytic, modest problem preparation and ready computer implementation. That is, we concerned with constructing polynomial solutions to two point second order of singularly perturbed problems of ordinary differential equation. A semi-analytic technique using two-point osculatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0,1]. Numerical linear and non linear examples are given to illustrate the method. It is observed that the present method converges to the exact solution very well.