Numerical analysis of Lane Emden-Fowler equations

This paper is devoted to the numerical solutions of Lane Emden-Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method (LADM). We also compare our numerical results with some already existing methods such as homotopy perturbation method, which reveals that the LADM provides the same solutions without any need of perturbation or collocation. Some numerical test problems are also provided by using Maple software.