caa a22 4500 445863129 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10569-010-9318-y doi (NATIONALLICENCE)springer-10.1007/s10569-010-9318-y Van Gorder Robert Department of Mathematics, University of Central Florida, P.O. Box 161364, FL 32816-1364, Orlando, USA aut Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind [Elektronische Daten] [Robert Van Gorder] 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. Springer Science+Business Media B.V., 2010 Lane-Emden equation of the second kind nationallicence Bonnor-Ebert gas spheres nationallicence Perturbation method nationallicence δ-expansion method nationallicence Quasilinear differential equation nationallicence Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 137-145 0923-2958 109:2<137 2011 109 10569 https://doi.org/10.1007/s10569-010-9318-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9318-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Van Gorder Robert Department of Mathematics, University of Central Florida, P.O. Box 161364, FL 32816-1364, Orlando, USA aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/2(2011-02-01), 137-145 0923-2958 109:2<137 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer