In this note, we extend a technique recently used to devise a novel class of geometric integrators named Hamiltonian Boundary Value Methods, to cope with nonlinear fractional differential equations. The approach relies on a truncated Fourier expansion of the vector field which yields a modified problem that can be suitably handled on a computer. An example showing the convergence properties of the resulting spectral approximation method is also presented.
Spectrally accurate solutions of nonlinear fractional initial value problems / Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 2116:(2019), pp. 1400051-1400054. (Intervento presentato al convegno ICNAAM 2018 tenutosi a Rodhes, Greece nel 13-18 September 20183-18 September 2018) [10.1063/1.5114132].
Spectrally accurate solutions of nonlinear fractional initial value problems
Brugnano, Luigi;
2019
Abstract
In this note, we extend a technique recently used to devise a novel class of geometric integrators named Hamiltonian Boundary Value Methods, to cope with nonlinear fractional differential equations. The approach relies on a truncated Fourier expansion of the vector field which yields a modified problem that can be suitably handled on a computer. An example showing the convergence properties of the resulting spectral approximation method is also presented.File | Dimensione | Formato | |
---|---|---|---|
1.5114132.pdf
Accesso chiuso
Descrizione: PDF editoriale
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
651.38 kB
Formato
Adobe PDF
|
651.38 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.