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In this paper, the Green's function and decomposition technique is proposedfor solving the coupled Lane-Emden equations. This approach depends onconstructing Green's function before establishing the recursive scheme for theseries solution. Unlike, standard Adomian decomposition method, the presentmethod avoids solving a sequence of transcendental equations for theundetermined coefficients. Convergence and error estimation is provided. Threeexamples of coupled Lane-Emden equations are considered to demonstrate theaccuracy of the current algorithm.

Solving coupled Lane-Emden equations by Green's function and decomposition technique