Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind
Abbreviated Journal Title
Celest. Mech. Dyn. Astron.
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; Astronomy & Astrophysics; Mathematics, Interdisciplinary Applications
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.
Celestial Mechanics & Dynamical Astronomy
"Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind" (2011). Faculty Bibliography 2010s. 2028.