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
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:
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