Abstract
In this paper, we use Padé approximation, to solve a boundary-value problem for an isothermal gas sphere, which is a special form of Lane–Emden equation. However, in general, the solution of Lane–Emden equation cannot be given analytically. This type of non-linear differential equations can be solved only numerically. An example is presented to show the ability of the method for Lane–Emden differential equation. Numerical solutions to the isothermal gas sphere have been discussed. We use MAPLE computer algebra systems for numerical calculations [Frank (1996)].
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