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Zbl 1023.65067
Wazwaz, Abdul-Majid
A new algorithm for solving differential equations of Lane-Emden type. (English)
[J] Appl. Math. Comput. 118, No.2-3, 287-310 (2001). ISSN 0096-3003

Summary: A reliable algorithm is employed to investigate the differential equations of Lane-Emden type. The algorithm rests mainly on the Adomian decomposition method with an alternate framework designed to overcome the difficulty of the singular point. The proposed framework is applied to a generalization of Lane-Emden equations so that it can be used in differential equations of the same type.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
65L60 Finite numerical methods for ODE
85A15 Galactic and stellar structure

Keywords: Lane-Emden type equations; Chandrasekhar equation; stellar structure; Adomian decomposition method; algorithm; singular point

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Zentralblatt MATH Berlin [Germany]