A reliable treatment for solving nonlinear two-point boundary value problems

Abstract

In this paper, we study the modified decomposition method (MDM) for solving nonlinear two-point boundary value problems (BVPs) and show numerical experiments. The modified form of the Adomian decomposition method which is more fast and accurate than the standard decomposition method (SDM) was introduced,by Wazwaz. In addition, we will compare the performance of the MDM and the new nonlinear shooting method applied to the solutions of nonlinear two-point BVPs. The comparison shows that the MDM is reliable, efficient and easy for solving the nonlinear two-point BVPs.