Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method

الملخص EN

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.