Department of Mathematics and Institute of Natural Sciences Kyunghee University Suwon, Kyunggi-do, 449-701, Korea
Abstract:
In this paper, we study the Green's function to find numerical solutions of second-order ordinary differential equations for two-point boundary value problems. We derive some properties of Green's function which can be applied to a Green's function integral formula. And we discuss and analyze numerical solutions which are obtained by the Green's function method and a shooting method.