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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Doha, EH (Autor) Outra; Abdelkawy, MA (Autor) Outra; Amin, AZM (Autor) Outra; António Mendes Lopes (Autor) FEUP

Revista

Título: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 0

ISSN: 1565-1339

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15