Nonperturbative approximate solution for Lane-Emden equation. (English) Zbl 0780.34007

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.


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
Full Text: DOI


[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
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