Nonperturbative approximate solution for Lane–Emden equation 论文

摘要

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.