Shawagfeh, N. T. Nonperturbative approximate solution for Lane-Emden equation. (English) Zbl 0780.34007 J. Math. Phys. 34, No. 9, 4364-4369 (1993). Summary: A nonperturbative approximate analytical solution is derived for the Lane-Emden equation using the Adomian decomposition method. The solution is in the form of a power series with easily computable coefficients. The Padé approximants method is used to accelerate the convergence of the power series. Comparison with some known exact and numerical solutions shows that the present solution is highly accurate. Cited in 75 Documents MSC: 34A45 Theoretical approximation of solutions to ordinary differential equations 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 41A21 Padé approximation Keywords:nonperturbative approximate analytical solution; Lane-Emden equation; Adomian decomposition method; power series; Padé approximants method PDF BibTeX XML Cite \textit{N. T. Shawagfeh}, J. Math. Phys. 34, No. 9, 4364--4369 (1993; Zbl 0780.34007) Full Text: DOI References: [1] DOI: 10.1016/0375-9601(85)90001-5 [2] DOI: 10.1007/BF02746743 [3] DOI: 10.1007/BF02829775 [4] DOI: 10.1063/1.527875 · Zbl 0683.35079 [5] DOI: 10.1007/BF02728824 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.