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Liao, Shijun

A new analytic algorithm of Lane–Emden type equations. (English) Zbl 1022.65078

Appl. Math. Comput. 142, No. 1, 1-16 (2003).
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.

Cited in 61 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
65L20 Stability and convergence of numerical methods for ordinary differential equations
85-08 Computational methods for problems pertaining to 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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\textit{S. Liao}, Appl. Math. Comput. 142, No. 1, 1--16 (2003; Zbl 1022.65078)
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References:

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