Lane-Emden Equation: Picard vs Pade

2001/07/20 by Seidov, Zakir F.
#Astrophysics (astro-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.astro-ph/0107395

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.

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