A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation
From MaRDI portal
Publication:2114086
DOI10.1186/s13662-019-2389-5zbMath1485.65096OpenAlexW2982109634WikidataQ126976566 ScholiaQ126976566MaRDI QIDQ2114086
Publication date: 14 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2389-5
unconditional stabilityGinzburg-Landau equationfractional Laplacianpointwise error estimatefourth-order convergence
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)
Related Items (3)
Numerical analysis of the nonuniform fast L1 formula for nonlinear time-space fractional parabolic equations ⋮ A fourth-order conservative difference scheme for the Riesz space-fractional sine-Gordon equations and its fast implementation ⋮ Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations
Cites Work
- Unnamed Item
- Maximum-norm error analysis of a difference scheme for the space fractional CNLS
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
- Riesz potential operators and inverses via fractional centred derivatives
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- A new technique to solve the initial value problems for fractional fuzzy delay differential equations
- A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
- 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
- Exponential ultimate boundedness of impulsive stochastic delay differential equations
- Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
- Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses
- A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system
- An unconditionally stable linearized CCD-ADI method for generalized nonlinear Schrödinger equations with variable coefficients in two and three dimensions
- A linearized energy-conservative finite element method for the nonlinear Schrödinger equation with wave operator
- Analysis and numerical methods for fractional differential equations with delay
- Fractional generalization of the Ginzburg-Landau equation: an unconventional approach to critical phenomena in complex media
- Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation
- A linearized high-order difference scheme for the fractional Ginzburg-Landau equation
- Difference methods for computing the Ginzburg-Landau equation in two dimensions
- The world of the complex Ginzburg-Landau equation
- Analysis of some finite difference schemes for two-dimensional 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
- Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg--Landau Equation
- 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
- Maximum norm error analysis of an unconditionally stable semi‐implicit scheme for multi‐dimensional Allen–Cahn equations
- A three‐level linearized compact difference scheme for the Ginzburg–Landau equation
This page was built for publication: A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation
