Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 31, Issue 3, Pages 876-899Publisher
WILEY-BLACKWELL
DOI: 10.1002/num.21925
Keywords
Ginzburg-Landau equation; compact difference scheme; convergence; solvability
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Funding
- National Natural Science Foundation of China [1127 1068]
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A high-order finite difference method for the two-dimensional complex Ginzburg-Landau equation is considered. It is proved that the proposed difference scheme is uniquely solvable and unconditionally convergent. The convergent order in maximum norm is two in temporal direction and four in spatial direction. In addition, an efficient alternating direction implicit scheme is proposed. Some numerical examples are given to confirm the theoretical results. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 876-899, 2015
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