The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated.The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented.The obtained result reveals that method is of higher efficiency, validity, and accuracy.
