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

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.