Numerical integration of the Thomas-Fermi equation from zero to infinity
The Thomas-Fermi equation is expanded in a series at both x = 0 and x = ∞. Forward numerical integration from x = 0 determines an initial slope of −1.5880710226. Backward integration from x = ∞ depends on one parameter. By fitting the backward and forward integrations near x = 30, the parameter is d...
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| Veröffentlicht in: | Journal of computational physics 1982-01, Vol.47 (2), p.308-312 |
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| container_end_page | 312 |
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| container_issue | 2 |
| container_start_page | 308 |
| container_title | Journal of computational physics |
| container_volume | 47 |
| creator | Krutter, Harry |
| description | The Thomas-Fermi equation is expanded in a series at both
x = 0 and
x = ∞. Forward numerical integration from
x = 0 determines an initial slope of −1.5880710226. Backward integration from
x = ∞ depends on one parameter. By fitting the backward and forward integrations near
x = 30, the parameter is determined and the numerical solution is obtained from zero to infinity with a high degree of accuracy. |
| doi_str_mv | 10.1016/0021-9991(82)90083-3 |
| format | Article |
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x = 0 and
x = ∞. Forward numerical integration from
x = 0 determines an initial slope of −1.5880710226. Backward integration from
x = ∞ depends on one parameter. By fitting the backward and forward integrations near
x = 30, the parameter is determined and the numerical solution is obtained from zero to infinity with a high degree of accuracy.</description><identifier>ISSN: 0021-9991</identifier><identifier>EISSN: 1090-2716</identifier><identifier>DOI: 10.1016/0021-9991(82)90083-3</identifier><language>eng</language><publisher>Elsevier Inc</publisher><ispartof>Journal of computational physics, 1982-01, Vol.47 (2), p.308-312</ispartof><rights>1982</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c337t-1b5287470290af387d1d189f76b0cf5040717ebf4d64e48b080ce24e9088da03</citedby><cites>FETCH-LOGICAL-c337t-1b5287470290af387d1d189f76b0cf5040717ebf4d64e48b080ce24e9088da03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0021-9991(82)90083-3$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3549,27923,27924,45994</link.rule.ids></links><search><creatorcontrib>Krutter, Harry</creatorcontrib><title>Numerical integration of the Thomas-Fermi equation from zero to infinity</title><title>Journal of computational physics</title><description>The Thomas-Fermi equation is expanded in a series at both
x = 0 and
x = ∞. Forward numerical integration from
x = 0 determines an initial slope of −1.5880710226. Backward integration from
x = ∞ depends on one parameter. By fitting the backward and forward integrations near
x = 30, the parameter is determined and the numerical solution is obtained from zero to infinity with a high degree of accuracy.</description><issn>0021-9991</issn><issn>1090-2716</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1982</creationdate><recordtype>article</recordtype><recordid>eNp9kLFOwzAURS0EEqXwBwyZEAyB59iJnQUJVRSQKli6W47zTI2SuLUTpPL1pAQxMr3hnnuldwi5pHBLgRZ3ABlNy7Kk1zK7KQEkS9kRmVEoIc0ELY7J7A85JWcxfsAI5VzOyPPr0GJwRjeJ63p8D7p3vku8TfoNJuuNb3VMlxhal-BumEIbfJt8YfBJ78eWdZ3r9-fkxOom4sXvnZP18nG9eE5Xb08vi4dVahgTfUqrPJOCC8hK0JZJUdOaytKKogJjc-AgqMDK8rrgyGUFEgxmHEuQstbA5uRqmt0Gvxsw9qp10WDT6A79EFXGuCxyIUaQT6AJPsaAVm2Da3XYKwrqYE0dlKiDEiUz9WNNsbF2P9Vw_OHTYVDROOwM1i6g6VXt3f8D39A2czM</recordid><startdate>19820101</startdate><enddate>19820101</enddate><creator>Krutter, Harry</creator><general>Elsevier Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19820101</creationdate><title>Numerical integration of the Thomas-Fermi equation from zero to infinity</title><author>Krutter, Harry</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c337t-1b5287470290af387d1d189f76b0cf5040717ebf4d64e48b080ce24e9088da03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1982</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Krutter, Harry</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of computational physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krutter, Harry</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical integration of the Thomas-Fermi equation from zero to infinity</atitle><jtitle>Journal of computational physics</jtitle><date>1982-01-01</date><risdate>1982</risdate><volume>47</volume><issue>2</issue><spage>308</spage><epage>312</epage><pages>308-312</pages><issn>0021-9991</issn><eissn>1090-2716</eissn><abstract>The Thomas-Fermi equation is expanded in a series at both
x = 0 and
x = ∞. Forward numerical integration from
x = 0 determines an initial slope of −1.5880710226. Backward integration from
x = ∞ depends on one parameter. By fitting the backward and forward integrations near
x = 30, the parameter is determined and the numerical solution is obtained from zero to infinity with a high degree of accuracy.</abstract><pub>Elsevier Inc</pub><doi>10.1016/0021-9991(82)90083-3</doi><tpages>5</tpages></addata></record> |
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| ispartof | Journal of computational physics, 1982-01, Vol.47 (2), p.308-312 |
| issn | 0021-9991 1090-2716 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_23486577 |
| source | Elsevier ScienceDirect Journals Complete - AutoHoldings |
| title | Numerical integration of the Thomas-Fermi equation from zero to infinity |
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