A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

DOI10.4208/jcm.2005-m2020-0029OpenAlexW3189833580MaRDI QIDQ5079529

Qifeng Zhang, Lu Zhang, Hai-Wei Sun

Publication date: 27 May 2022

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2005-m2020-0029

zbMATH Keywords

convergenceboundednessFFTpreconditionercompact schemespace-fractional Ginzburg-Landau equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Related Items (1)

A meshless method for solving nonlinear variable-order fractional Ginzburg-Landau equations on arbitrary domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\)
• Dynamics of the 3-D fractional complex Ginzburg-Landau equation
• Fourier spectral approximations to the dynamics of 3D fractional complex Ginzburg-Landau equation
• Random attractor for fractional Ginzburg-Landau equation with multiplicative noise
• An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
• Fractional quantum mechanics and Lévy path integrals
• An efficient split-step quasi-compact finite difference method for the nonlinear 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
• A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
• Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
• Fast iterative solvers and simulation for the space fractional Ginzburg-Landau equations
• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
• Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations
• Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation
• Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
• Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation
• Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
• The world of the complex Ginzburg-Landau equation
• Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise
• Fractional dynamics of coupled oscillators with long-range interaction
• Conjugate Gradient Methods for Toeplitz Systems
• An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian
• A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
• Well-posedness of the fractional Ginzburg–Landau equation
• ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION
• An Introduction to Iterative Toeplitz Solvers

This page was built for publication: A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations