EnglishIn this paper a class of Boundary Value Methods obtained as an extension of the Numerov's method is proposed for the numerical approximation of the eigenvalues of regular Sturm-Liouville problems subject to Dirichlet boundary conditions. It is proved that the error in the so obtained estimate of the kth eigenvalue behaves as O (k^(p + 1) h^(p - 1/2)) + O (k^(p+2) h^p), where p is the order of accuracy of the method and h is the discretization stepsize. Numerical results comparing the performances of the new matrix methods with that of the corrected Numerov's method are also reported.
| Autori: | |
| Autori: | ACETO L; MAGHERINI C; GHELARDONI P |
| Titolo: | Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates |
| Anno del prodotto: | 2009 |
| Digital Object Identifier (DOI): | 10.1016/j.apnum.2008.11.005 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11568/201436
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