• TWO POINT BOUNDARY VALUE PROBLEM WITH UNKNOWN INTERVAL

Abstract

Two point boundary value problems where the interval is unknown cannot be handled by standard numerical methods. By using transformation the problem is brought to usual boundary value problem with interval length occurring in the ordinary differential equation. Two methods are used to obtain the solution of this differential equation while finding the interval length an extra condition is used. First method is by the application of Newton’s method to find the interval length and second method is Quasilinearization technique where method of finding interval length uses criteria worth noting for such problems.