The rational Chebyshev of second kind collocation method for solving a class of astrophysics problems

摘要

The Lane-Emden equation has been used to model several phenomena in theoretical physics, mathematical physics and astrophysics such as the theory of stellar structure. This study is an attempt to utilize the collocation method with the rational Chebyshev function of Second kind (RCS) to solve the Lane-Emden equation over the semi-infinite interval [0,+infinity[. According to well-known results and comparing with previous methods, it can be said that this method is efficient and applicable.