A new analytic algorithm of Lane--Emden type equations

Authors:
Shijun Liao
Affiliations:
School of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, China
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

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.