We use a collocation method in refinable spline spaces to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit differentiation rule for the B-spline basis that allows us to efficiently evaluate the collocation matrices appearing in the method. We prove the convergence of the method and show some numerical results.
A collocation method in spline spaces for the solution of linear fractional dynamical systems
Pellegrino E.;
2019-01-01
Abstract
We use a collocation method in refinable spline spaces to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit differentiation rule for the B-spline basis that allows us to efficiently evaluate the collocation matrices appearing in the method. We prove the convergence of the method and show some numerical results.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2020_A collocation method in spline spaces.pdf
Open Access dal 24/12/2021
Descrizione: Articolo
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
1.27 MB
Formato
Adobe PDF
|
1.27 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
