In this note, we extend a technique recently used to devise a novel class of geometric integrators named Hamil-tonian 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 P.;Iavernaro F.
2019-01-01
Abstract
In this note, we extend a technique recently used to devise a novel class of geometric integrators named Hamil-tonian 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 in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.