Boundary Value Methods generalizing the Numerov's method are here proposed for the numerical approximation of the eigenvalues of regular Sturm-Liouville problems subject to Dirichlet boundary conditions. Moreover, an analysis of the error in the approximation of the k-th eigenvalue provided by such methods is reported. Some numerical results showing the possible advantages that may arise from the use of the new schemes are also presented.
Titolo: | A Generalization of Numerov's Method Using the BVM Approach for Sturm-Liouville Eigenvalue estimates |
Autori interni: | |
Anno del prodotto: | 2008 |
Rivista: | |
Abstract: | Boundary Value Methods generalizing the Numerov's method are here proposed for the numerical approximation of the eigenvalues of regular Sturm-Liouville problems subject to Dirichlet boundary conditions. Moreover, an analysis of the error in the approximation of the k-th eigenvalue provided by such methods is reported. Some numerical results showing the possible advantages that may arise from the use of the new schemes are also presented. |
Handle: | http://hdl.handle.net/11568/205580 |
ISBN: | 9780735405769 |
Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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