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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >An improved numerical method for a class of astrophysics problems based on radial basis functions
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An improved numerical method for a class of astrophysics problems based on radial basis functions

机译:基于径向基函数的一类天体物理问题的改进数值方法

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摘要

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.
机译:在本文中,我们提出了径向基函数,用于解决在半无限域上分类为非线性奇异初始常微分方程的一些著名的天体物理学问题。为了提高收敛速度并减少并置点,我们通过积分运算使用了均匀的径向基函数。随后,给出了该方程的一些特殊情况作为测试示例,以证明该方法的可靠性。然后,我们将这项工作的结果与最近的一些结果进行了比较,证明了该新方法是有效且适用的。

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