Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Doha, EH (Author) Other; Abdelkawy, MA (Author) Other; Amin, AZM (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 0

ISSN: 1565-1339

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00V-EAE

DOI: 10.1515/ijnsns-2021-0018

Abstract (EN): This paper addresses the numerical solution of multi-dimensional variable-order fractional Gross-Pitaevskii equations (VOF-GPEs) with initial and boundary conditions. A new scheme is proposed based on the fully shifted fractional Jacobi collocation method and adopting two independent approaches: (i) the discretization of the space variable and (ii) the discretization of the time variable. A complete theoretical formulation is presented and numerical examples are given to illustrate the performance and efficiency of the new algorithm. The superiority of the scheme to tackle VOF-GPEs is revealed, even when dealing with nonsmooth time solutions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15