Rational Chebyshev of Second Kind Collocation Method for Solving a Class of Astrophysics Problems
This is an incremental application of a known numerical method to a specific class of astrophysics problems.
The authors apply a collocation method using Rational Chebyshev of Second Kind functions to solve the Lane-Emden equation on a semi-infinite interval. They claim the method is efficient and applicable based on comparisons with previous methods, but no concrete numerical results are provided.
The Lane-Emden equation has been used to model several phenomenas 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 of Second Kind function (RSC) to solve the Lane-Emden equation over the semi-infinit interval [0; +infinity). According to well-known results and comparing with previous methods, it can be said that this method is efficient and applicable.