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.
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© 1993 American Institute of Physics.
1993
American Institute of Physics
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