Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation
DOI10.1007/s11075-023-01699-3MaRDI QIDQ6590597
Wan-Sheng Wang, Yanming Zhang, Unnamed Author
Publication date: 21 August 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
spectral methodlong-time stabilityfractional Ginzburg-Landau equationtwo-step backward differentiation formuladiscrete uniform Gronwall lemmaunconditional stability-preserving
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical nonlinear stabilities in dynamical systems (65P40) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations
- Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation
- An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
- Global well-posedness for the generalized 2D Ginzburg-Landau equation
- Asymptotics for the generalized two-dimensional Ginzburg-Landau equation
- Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations
- An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation
- An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation
- The spectral method for long-time behavior of a fractional power dissipative system
- Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity
- Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
- Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
- Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation
- Fourier spectral approximation to long-time behavior of three dimensional Ginzburg-Landau type equation
- A linearized high-order difference scheme for the fractional Ginzburg-Landau equation
- On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit
- Fractional dynamics of coupled oscillators with long-range interaction
- A Nonstiff Euler Discretization of the Complex Ginzburg--Landau Equation in One Space Dimension
- Dissipativity of the linearly implicit Euler scheme for Navier‐Stokes equations with delay
- Well-posedness and dynamics for the fractional Ginzburg-Landau equation
- A linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Ginzburg–Landau equation
- ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION
- Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation
- On the theory of superconductivity
This page was built for publication: Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation
