Approximate Solution to the Fractional Second Type Lane-Emden Equation
Solar and Stellar Astrophysics
2016-09-07 v1
Abstract
The spherical isothermal Lane-Emden equation is a second order non-linear differential equation that model many configurations in astrophysics. In the present paper and based on the fractal index technique and the series expansion, the fractional lane-Emden equation involving modified Riemann-Liouville derivative is solved. The results indicate that, the series converges for the radius range with fractional parameter spreads over a wide range of the fractional parameter . Comparison with the numerical solution revealed a good agreement with a maximum relative error 0.05.
Cite
@article{arxiv.1512.09116,
title = {Approximate Solution to the Fractional Second Type Lane-Emden Equation},
author = {E. A. Abdel-Salam and M. I. Nouh},
journal= {arXiv preprint arXiv:1512.09116},
year = {2016}
}
Comments
13 pages, 3 figures