A new numerical method to solve two-point boundary value problems for second order differential equations is proposed. This method is based on the singular value expansion of an integral formulation of the derivative operator. Here, we outline such an expansion and we propose a method to build new algebraic schemes able to solve boundary value problems. The performances of the presented method are tested by numerical experiments on boundary value problems that have known solutions.
A spectral method for the solution of boundary value problems
Egidi N.
;Maponi P.
2021-01-01
Abstract
A new numerical method to solve two-point boundary value problems for second order differential equations is proposed. This method is based on the singular value expansion of an integral formulation of the derivative operator. Here, we outline such an expansion and we propose a method to build new algebraic schemes able to solve boundary value problems. The performances of the presented method are tested by numerical experiments on boundary value problems that have known solutions.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2021SpeMetSolBVP.pdf
solo gestori di archivio
Descrizione: Articolo
Tipologia:
Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
452.51 kB
Formato
Adobe PDF
|
452.51 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
