An improved numerical method for a class of astrophysics problems based on radial basis functions

In this paper, we propose radial basis functions for solving some well-known classes of astrophysics problems categorized as nonlinear singular initial ordinary differential equations on a semi-infinite domain. To increase the convergence rate and to decrease the collocation points, we use the even radial basis functions through the integral operations. Afterwards, some special cases of the equation are presented as test examples to show the reliability of the method. Then we compare the results of this work with some recent results and show that the new method is efficient and applicable.