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

被引：25
|
作者：
Van Gorder, Robert A. [1 ]
机构：
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2011年 / 109卷 / 02期
关键词：
Lane-Emden equation of the second kind; Bonnor-Ebert gas spheres; Perturbation method; delta-expansion method; Quasilinear differential equation; QUANTUM-FIELD THEORY; LOCAL GAUGE-THEORIES; DELTA-EXPANSION; NONPERTURBATIVE CALCULATION; PERTURBATIVE APPROACH; SERIES; MODEL;
D O I：
10.1007/s10569-010-9318-y
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We apply the delta-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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页码：137 / 145
页数：9
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