{"title":"另一个托马斯-费米方程的理性解析近似","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":43632,"journal":{"name":"Journal of Information Technology Education-Innovations in Practice","volume":"73 1","pages":"7-13"},"PeriodicalIF":0.9000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"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\":43632,\"journal\":{\"name\":\"Journal of Information Technology Education-Innovations in Practice\",\"volume\":\"73 1\",\"pages\":\"7-13\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Information Technology Education-Innovations in Practice\",\"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\":\"Q3\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Information Technology Education-Innovations in Practice","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":"Q3","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
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