A new algorithm for solving differential equations of Lane-Emden type. (English) Zbl 1023.65067

Wazwaz, Abdul-Majid

Appl. Math. Comput. 118, No. 2-3, 287-310 (2001).

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:

65L05	Numerical methods for initial value problems involving ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems
65L60	Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
85A15	Galactic and stellar structure

Keywords:

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

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