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Numerical Functional Analysis and Optimization Volume 31, 2010 - Issue 10
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Original Articles

Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation

Lei Zhang Institute of Mathematics, Jilin University, Changchun, P.R. China; Department of Mathematics, Heilongjiang University, Harbin, P.R. ChinaCorrespondence[email protected]
Pages 1190-1211 | Received 31 Dec 2009, Accepted 25 Jun 2010, Published online: 13 Sep 2010

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Jue Wang, QinPan Liu & YueSheng Luo. (2019) The Numerical Analysis of the Long Time Asymptotic Behavior for Lotka-Volterra Competition Model with Diffusion. Numerical Functional Analysis and Optimization 40:6, pages 685-705.
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Articles from other publishers (8)

Tarek Aboelenen & Mohammed Alqawba. (2023) Stability analysis and error estimates of local discontinuous Galerkin method for nonlinear fractional Ginzburg–Landau equation with the fractional Laplacian. The European Physical Journal Special Topics 232:14-15, pages 2607-2617.
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Hengfei Ding & Qian Yi. (2022) The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I). Communications in Nonlinear Science and Numerical Simulation 110, pages 106394.
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Kejia Pan, Xianlin Jin & Dongdong He. (2019) Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg‐Landau equations. Mathematical Methods in the Applied Sciences 43:2, pages 512-535.
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Dongdong He & Kejia Pan. (2018) An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation. Numerical Algorithms 79:3, pages 899-925.
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Zhao-peng Hao & Zhi-zhong Sun. (2017) A linearized high-order difference scheme for the fractional Ginzburg-Landau equation. Numerical Methods for Partial Differential Equations 33:1, pages 105-124.
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Pengde Wang & Chengming Huang. (2016) An implicit midpoint difference scheme for the fractional Ginzburg–Landau equation. Journal of Computational Physics 312, pages 31-49.
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Yun Yan, Frederick Ira MoxleyIIIIII & Weizhong Dai. (2015) A new compact finite difference scheme for solving the complex Ginzburg–Landau equation. Applied Mathematics and Computation 260, pages 269-287.
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Seunggyu Lee, Chaeyoung Lee, Hyun Geun Lee & Junseok Kim. (2013) COMPARISON OF DIFFERENT NUMERICAL SCHEMES FOR THE CAHN-HILLIARD EQUATION. Journal of the Korea Society for Industrial and Applied Mathematics 17:3, pages 197-207.
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