Numerical Study of Astrophysics Equations by Meshless Collocation Method Based on Compactly Supported Radial Basis Function

摘要

In this paper, we propose compactly supported radial basis functions forsolving some well- known classes of astrophysics problems categorized asnon-linear singular initial ordinary dif- ferential equations on asemi-infinite domain. To increase the convergence rate and to decrease thecollocation points, we use the compactly supported radial basis functionthrough the integral operations. Afterwards, some special cases of the equationare presented as test examples to show the reliability of the method. Then wecompare the results of this work with some results and show that the new methodis efficient and applicable