A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation
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Publication:5156934
DOI10.4208/aamm.OA-2019-0070zbMath1488.35652WikidataQ115211406 ScholiaQ115211406MaRDI QIDQ5156934
Shangyou Zhang, Jianyong Tao, Petr Vasilievich Sivtsev, Yin Yang
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35)
Related Items (4)
Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay ⋮ A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints ⋮ Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations ⋮ The Study of the Numerical Treatment of the Real Ginzburg–Landau Equation Using the Galerkin Method
Cites Work
- Unnamed Item
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- The convergence rates of expansions in Jacobi polynomials
- On the history of multivariate polynomial interpolation
- Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods
- Spectral collocation method for linear fractional integro-differential equations
- Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
- Spectral collocation methods for nonlinear coupled time fractional Nernst-Planck equations in two dimensions and its convergence analysis
- Application of the collocation method for solving nonlinear fractional integro-differential equations
- On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
- 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
- A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
- On absolute convergence of Jacobi series
- Spectral Methods
- The world of the complex Ginzburg-Landau equation
- Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Numerical simulation of time fractional Cable equations and convergence analysis
- Well-posedness and dynamics for the fractional Ginzburg-Landau equation
- ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION
- Spectral Methods
- Psi-series solution of fractional Ginzburg–Landau equation
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