另一个托马斯-费米方程的理性解析近似

Pub Date : 2018-01-01 DOI:10.12988/JITE.2018.823

W. Robin

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引用次数: 4

摘要

提出了求解Thomas-Fermi边值问题的一种新的有理解析近似。该近似是对J.C. Mason[5]的原始概念的发展，并且在证明可行的情况下，已经发展到再现Parand等人[11]的数值工作。通过应用于有理近似的基本配置过程，证明了数值数据的拟合性很好。数学学科分类:34A34、34A45、34B15、34B40、65L60

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Another rational analytical approximation to the Thomas-Fermi equation

A new rational analytic approximation to the solution of the Thomas-Fermi boundary value problem is presented. The approximation is a development of the original conception of J.C. Mason [5] and has been developed to reproduce the numerical work of Parand et al [11], as far as proved feasible. The fit to the numerical data, by a basic collocation process applied to the rational approximation, proved excellent. Mathematics Subject Classification: 34A34, 34A45, 34B15, 34B40, 65L60

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