Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind

Details Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind

Feb 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.109..137v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 109, Issue 2, pp.137-145

Astronomy and Astrophysics

Astronomy

4

Lane-Emden Equation Of The Second Kind, Bonnor-Ebert Gas Spheres, Perturbation Method, Δ-Expansion Method, Quasilinear Differential Equation

Scientific paper

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.

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