Numerical Study of Astrophysics Equations by Meshless Collocation Method Based on Compactly Supported Radial Basis Function
Numerical Analysis
2016-05-31 v4 Classical Analysis and ODEs
Abstract
In this paper, we propose compactly supported radial basis functions for solving some well- known classes of astrophysics problems categorized as non-linear singular initial ordinary dif- ferential equations on a semi-infinite domain. To increase the convergence rate and to decrease the collocation points, we use the compactly supported radial basis function 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 results and show that the new method is efficient and applicable
Cite
@article{arxiv.1509.04326,
title = {Numerical Study of Astrophysics Equations by Meshless Collocation Method Based on Compactly Supported Radial Basis Function},
author = {Kourosh Parand and Mohammad Hemami},
journal= {arXiv preprint arXiv:1509.04326},
year = {2016}
}
Comments
24 pages, 8 figures. arXiv admin note: text overlap with arXiv:1008.2063, arXiv:1008.2313