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A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations
Li,Leonard Z.; Sun,Hai Wei; Tam,Sik Chung
2015-03-29
Source PublicationComputer Physics Communications
ISSN00104655
Volume187Pages:38-48
Abstract

Based on the combined compact difference scheme, an alternating direction implicit method is proposed for solving two-dimensional cubic nonlinear Schrödinger equations. The proposed method is sixth-order accurate in space and second-order accurate in time. The linear Fourier analysis method is exploited to study the stability of the proposed method. The efficiency and accuracy of the proposed method are tested numerically. The common solution pattern of the nonlinear Schrödinger equation is also illustrated using relevant examples known in the literature.

KeywordAlternating Direction Implicit Method Combined Compact Difference Scheme Cubic Nonlinear Schrödinger Equation Solution Pattern Unconditional Stability Wave-like Motion
DOI10.1016/j.cpc.2014.10.008
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000346954200005
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Cited Times [WOS]:18   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
AffiliationDepartment of Mathematics, University of Macau,Macao
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Li,Leonard Z.,Sun,Hai Wei,Tam,Sik Chung. A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations[J]. Computer Physics Communications,2015,187:38-48.
APA Li,Leonard Z.,Sun,Hai Wei,&Tam,Sik Chung.(2015).A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations.Computer Physics Communications,187,38-48.
MLA Li,Leonard Z.,et al."A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations".Computer Physics Communications 187(2015):38-48.
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