On Solution of Two Point Second Order Non Linear Boundary Value Problems using Semi-Analytic Method

Abstract

       In this paper a new method is proposed for the solution of two-point second order boundary-value problems( TPBVP ) ,that is, we interested in constructing polynomial solutions of two points second order boundary value problems for 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] is compared with conventional methods via a series of examples and is shown to be that seems to converge faster and more accurately than the conventional methods and generally superior, particularly for problems involving nonlinear equations and/or boundary conditions .