Adomian decomposition method for a reliable treatment of the Emden–Fowler equation

摘要

In this paper, we present a reliable algorithm to determine new exact and new approximate solutions of the generalized Emden–Fowler equation. The algorithm rests mainly on Adomian decomposition method with an alternative framework designed to overcome the difficulty of the singular point at x=0. The proposed framework reveals quite a number of remarkable features of the scheme used here.