Title
Analytical Solutions To A Quasilinear Differential Equation Related To The Lane-Emden Equation Of The Second Kind
Keywords
Bonnor-Ebert gas spheres; Lane-Emden equation of the second kind; Perturbation method; Quasilinear differential equation; δ-expansion method
Abstract
We apply the δ-expansion method to a transformed Lane-Emden equation. The results are then transformed back, and we recover analytical solutions to the Lane-Emden equation of the second kind (which describes Bonnor-Ebert gas spheres) in a special case. The rapid convergence of the method results in qualitatively accurate solutions in relatively few iterations, as we see when we compare the obtained analytical solutions to numerical results. © 2010 Springer Science+Business Media B.V.
Publication Date
2-1-2011
Publication Title
Celestial Mechanics and Dynamical Astronomy
Volume
109
Issue
2
Number of Pages
137-145
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s10569-010-9318-y
Copyright Status
Unknown
Socpus ID
79251626328 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/79251626328
STARS Citation
van Gorder, Robert A., "Analytical Solutions To A Quasilinear Differential Equation Related To The Lane-Emden Equation Of The Second Kind" (2011). Scopus Export 2010-2014. 3281.
https://stars.library.ucf.edu/scopus2010/3281