A generalized Numerov method for linear second-order differential equations involving a first derivative term
The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the fram...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2004-09, Vol.170 (1), p.103-120 |
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| container_title | Journal of computational and applied mathematics |
| container_volume | 170 |
| creator | Tselyaev, V.I. |
| description | The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the framework of the numerical experiment in comparison with the Runge–Kutta method and with another modifications of the Numerov method. A general scheme of the application to the numerical solution of the Hartree–Fock equations is considered. |
| doi_str_mv | 10.1016/j.cam.2003.12.042 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0377-0427 |
| ispartof | Journal of computational and applied mathematics, 2004-09, Vol.170 (1), p.103-120 |
| issn | 0377-0427 1879-1778 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Access via ScienceDirect (Elsevier) |
| subjects | Hartree–Fock calculations Numerov method Runge–Kutta method |
| title | A generalized Numerov method for linear second-order differential equations involving a first derivative term |
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