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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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/0021-9991(82)90083-3 |