  In this paper, the Green's function and decomposition technique is proposed
for solving the coupled Lane-Emden equations. This approach depends on
constructing Green's function before establishing the recursive scheme for the
series solution. Unlike, standard Adomian decomposition method, the present
method avoids solving a sequence of transcendental equations for the
undetermined coefficients. Convergence and error estimation is provided. Three
examples of coupled Lane-Emden equations are considered to demonstrate the
accuracy of the current algorithm.
