An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation
Author:
Funder
National Natural Science Foundation of China
Natural Science Foundation ofnbsp;Hunan Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/article/10.1007/s11075-017-0466-y/fulltext.html
Reference53 articles.
1. Aranson, I.S., Kramer, L.: The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99–143 (2002)
2. Duan, J., Titi, E., Holmes, P.: Regularity approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation. Nonlinearity 6, 915–933 (1993)
3. Duan, J., Holmes, P., Titi, E.: Global existence theory for a generalized Ginzburg-Landau equation. Nonlinearity 5, 1303–1314 (1992)
4. Doering, C.R., Gibbon, J.D., Levermore, C.D.: Weak and strong solutions of the complex Ginzburg-Landau equation. Physica D 71, 285–318 (1994)
5. Gao, H., Lin, G., Duan, J.: Asymptotics for the generalized two-dimensional Ginzburg-Landau equation. J. Math. Anal. Appl. 247, 198–216 (2000)
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