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Zbl 0780.34007
Shawagfeh, N.T.
Nonperturbative approximate solution for Lane-Emden equation. (English)
[J] J. Math. Phys. 34, No.9, 4364-4369 (1993). ISSN 0022-2488; ISSN 1089-7658/e

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.
MSC 2000:
*34A45 Theoretical approximation of solutions of ODE
34A25 Analytical theory of ODE
41A21 Pade approximation

Keywords: nonperturbative approximate analytical solution; Lane-Emden equation; Adomian decomposition method; power series; Padé approximants method

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