ABSTRACT
The purpose of this paper is to discuss some recent developments concerning the numerical simulation of space and time fractional Schrödinger and Gross–Pitaevskii equations. In particular, we address some questions related to the discretization of the models (order of accuracy and fast implementation) and clarify some of their dynamical properties. Some numerical simulations illustrate these points.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Xavier Antoine http://orcid.org/0000-0002-6501-7757