Document Zbl 1357.65196

Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation. (English) Zbl 1357.65196

Discrete Contin. Dyn. Syst. 37, No. 5, 2539-2564 (2017).

Summary: We study the fractional complex Ginzburg-Landau equation with periodic initial boundary value condition in three spatial dimensions. The problem is discretized fully by Fourier Galerkin spectral method. The dynamical behavior of the resulting discrete system is examined. The existence of a global attractor is established, and the corresponding convergence is proved through the error estimates of the discrete solution. Numerical stability and convergence of the discrete scheme are proved.

Cited in 18 Documents

MSC:

65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Keywords:

fractional Ginzburg-Landau equation; global attractor; numerical stability; spectral method

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