Lane-Emden Equation: Picard vs Pade

Details Lane-Emden Equation: Picard vs Pade Lane-Emden Equation: Picard vs Pade

2001-07-20

arxiv.org/abs/astro-ph/0107395v1

Astronomy and Astrophysics

Astrophysics

6 pp, Mathematica notebook source included

Scientific paper

The very accurate analytical solutions are found to Lane-Emden equation of
arbitrary index, n, using Picard type iteration scheme and rational Pade
approximants. For n=2 the dimensionless polytropic "radius" and "mass" are
4.35287459595 and 2.4110450121, with the largest ever accuracy.

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