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

65L05Initial value problems for ODE (numerical methods)
34A34Nonlinear ODE and systems, general
65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
85A15Galactic and stellar structure
Full Text: DOI
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