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Zbl 1022.65078
Liao, Shijun
A new analytic algorithm of Lane--Emden type equations. (English)
[J] Appl. Math. Comput. 142, No.1, 1-16 (2003). ISSN 0096-3003

Summary: 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.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
65L20 Stability of numerical methods for ODE
85-08 Computational methods (astronomy and astrophysics)
85A15 Galactic and stellar structure

Keywords: Lane-Edmen equation; stellar structure; numerical examples; Adomian decomposition method; algorithm; convergence

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Zentralblatt MATH Berlin [Germany]