Numerical study for two-point boundary value problems using Greenʹs functions

In this paper, we study the Greenʹs function to find numerical solutions of second-order ordinary differential equations for two-point boundary value problems. We derive some properties of Greenʹs function which can be applied to a Greenʹs function integral formula. And we discuss and analyze numerical solutions which are obtained by the Greenʹs function method and a shooting method.