標題: A simple Dufort-Frankel-type scheme for the Gross-Pitaevskii equation of Bose-Einstein condensates on different geometries
作者: Lai, MC
Huang, CY
Lin, TS
應用數學系
Department of Applied Mathematics
關鍵字: Dufort-Frankel scheme;Gross-Pitaevskii equation;nonlinear Schrodinger equation;Bose-Einstein condensates
公開日期: 1-七月-2004
摘要: We develop a simple Dufort-Frankel-type scheme for solving the time-dependent Gross-Pitaevskii equation (GPE). The GPE is a nonlinear Schrodinger equation describing the Bose-Einstein condensation (BEC) at very low temperature. Three different geometries including 1D spherically symmetric, 2D cylindrically symmetric, and 3D anisotropic Cartesian domains are considered. The present finite difference method is explicit, linearly unconditional stable and is able to handle the coordinate singularities in a natural way. Furthermore, the scheme is time reversible and satisfies a discrete analogue of density conservation law. (C) 2004 Wiley Periodicals, Inc.
URI: http://dx.doi.org/10.1002/num.20008
http://hdl.handle.net/11536/26625
ISSN: 0749-159X
DOI: 10.1002/num.20008
期刊: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume: 20
Issue: 4
起始頁: 624
結束頁: 638
顯示於類別:期刊論文


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