Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates

Aceto, L; Magherini, C; Ghelardoni, P.

doi:10.1016/j.apnum.2008.11.005

In 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.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/201436

Autori interni:	ACETO, LIDIA MAGHERINI, CECILIA GHELARDONI, PAOLO
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

File in questo prodotto:

Non ci sono file associati a questo prodotto.

Citazioni

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.