On Solution of Two Point Second Order Linear Boundary Value Problems By 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 concerned with constructing polynomial solutions to two point 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.