Year: 2021
Author: Lan Wang, Wenjun Cai, Yushun Wang
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 203–231
Abstract
An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations. The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction, respectively. The scheme is energy-preserving, stable, and of sixth order in space and of second order in time. Numerical experiments verify the theoretical results. The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0308
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 203–231
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Coupled Gross-Pitaevskii equations average vector field method high order compact method energy-preserving scheme.
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