{"title":"Another rational analytical approximation to the Thomas-Fermi equation","authors":"W. Robin","doi":"10.12988/JITE.2018.823","DOIUrl":null,"url":null,"abstract":"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","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/JITE.2018.823","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
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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