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

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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 differential 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.

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  1. Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran, 19697-64166, Iran

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Parand, K., Hemami, M. Numerical Study of Astrophysics Equations by Meshless Collocation Method Based on Compactly Supported Radial Basis Function. Int. J. Appl. Comput. Math 3, 1053–1075 (2017). https://doi.org/10.1007/s40819-016-0161-z

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