Numerical analysis of a fourth-order linearized difference method for nonlinear time-space fractional Ginzburg-Landau equation
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Publication:2700291
DOI10.3934/era.2022186OpenAlexW4289537658MaRDI QIDQ2700291
Mingfa Fei, Wen-Hao Li, Yulian Yi
Publication date: 20 April 2023
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2022186
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Cites Work
- Unnamed Item
- Maximum-norm error analysis of a difference scheme for the space fractional CNLS
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- High-order algorithms for Riesz derivative and their applications. II
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Some high order difference schemes for the space and time fractional Bloch-Torrey equations
- A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel
- Implicit difference approximation for the time fractional diffusion equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the conservation of fractional nonlinear Schrödinger equation's invariants by the local discontinuous Galerkin method
- High-order algorithms for Riesz derivative and their applications. I.
- 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
- On the continuum limit for discrete NLS with long-range lattice interactions
- An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation
- Time-space fractional stochastic Ginzburg-Landau equation driven by fractional Brownian motion
- Fractional diffusion on bounded domains
- High-order conservative schemes for the space fractional nonlinear Schrödinger equation
- Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation
- Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation
- A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations
- A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
- The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I)
- High-order algorithms for Riesz derivative and their applications. IV.
- 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
- A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations
- The development of higher-order numerical differential formulas of Caputo derivative and their applications (I)
- 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
- Fractional generalization of the Ginzburg-Landau equation: an unconventional approach to critical phenomena in complex media
- Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?
- On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Time-space fractional stochastic Ginzburg-Landau equation driven by Gaussian white noise
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Well-posedness and dynamics for the fractional Ginzburg-Landau equation
- Galerkin‐Legendre spectral method for the nonlinear Ginzburg‐Landau equation with the Riesz fractional derivative
- On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme
- High‐order algorithms for Riesz derivative and their applications (V)
- ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
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