A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method

In this paper, we introduce systems of Volterra integral forms of the Lane-Emden equations. We use the systematic Adomian decomposition method to handle these systems of integral forms. The Volterra integral forms overcome the singular behavior at the origin x=0. The Adomian decomposition method gives reliable algorithm for analytic approximate solutions of these systems. Our results are supported by investigating several numerical examples. Copyright (c) 2013 John Wiley & Sons, Ltd.