High order approximation scheme for a fractional order coupled system describing the dynamics of rotating two-component Bose-Einstein condensates

High order approximation scheme for a fractional order coupled system describing the dynamics of rotating two-component Bose-Einstein condensates

A coupled system of fractional order Gross-Pitaevskii equations is under consideration in which the time-fractional derivative is given in Caputo sense and the spatial fractional order derivative is of Riesz type. This kind of model may shed light on some time-evolution properties of the rotating tw...

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Bibliographic Details
Main Authors: A.S. Hendy, R.H. De Staelen, A.A. Aldraiweesh, M.A. Zaky
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
galerkin-legendre spectral method
l2-$ 1_{\sigma} $ scheme
time-space fractional coupled gross¢pitaevskii equation
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231160?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231160?viewType=HTML

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