A new analytic algorithm of Lane–Emden type equations

摘要

An reliable, ease-to-use analytic algorithm is provided for Lane–Emden type equation which models many phenomena in mathematical physics and astrophysics. This algorithm logically contains the well-known Adomian decomposition method. Different from all other analytic techniques, this algorithm itself provides us with a convenient way to adjust convergence regions even without Páde technique. Some applications are given to show its validity.