Polytropic Dynamical Systems with Time Singularity
arXiv:2405.08736 · doi:10.34198/ejms.14324
Abstract
In this paper we consider a class of second order singular homogeneous differential equations called the Lane-Emden-type with time singularity in the drift coefficient. Lane-Emden equations are singular initial value problems that model phenomena in astrophysics such as stellar structure and are governed by polytropics with applications in isothermal gas spheres. A hybrid method is proposed to approximate the solution of this type of dynamic equations.
18 pages, 7 figures