Lane-Emden Equation: Picard vs Pade
Astrophysics
2009-09-25 v1 Computational Physics
Abstract
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.
Cite
@article{arxiv.astro-ph/0107395,
title = {Lane-Emden Equation: Picard vs Pade},
author = {Zakir F. Seidov},
journal= {arXiv preprint arXiv:astro-ph/0107395},
year = {2009}
}
Comments
6 pp, Mathematica notebook source included