A new compact finite difference scheme for solving the complex Ginzburg-Landau equation
From MaRDI portal
Publication:1643063
DOI10.1016/j.amc.2015.03.053zbMath1410.65332OpenAlexW2089658671MaRDI QIDQ1643063
Weizhong Dai, Yun Yan, Frederick Ira III. Moxley
Publication date: 18 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.053
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ginzburg-Landau equations (35Q56)
Related Items
Conservative compact difference scheme for the Zakharov–Rubenchik equations, High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients, Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation, A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation, The Numerical Analysis of the Long Time Asymptotic Behavior for Lotka-Volterra Competition Model with Diffusion, A conservative compact difference scheme for the Zakharov equations in one space dimension, \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations, Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach, Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation, Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations, A new approach for numerical solution of Kuramoto-Tsuzuki equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
- Numerical simulations of the quantized vortices on a thin superconducting hollow sphere
- Alternating direction and semi-explicit difference methods for parabolic partial differential equations
- Compact finite difference schemes with spectral-like resolution
- On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
- Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors
- Wave packet propagating in an electrical transmission line
- Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity
- Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation
- Exploding soliton and front solutions of the complex cubic-quintic Ginzburg-Landau equation
- Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg--Landau Model in Superconductivity
- Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations
- A Finite-difference Solution of the Ginzburg–Landau Equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Time Splitting Spectral Method for the Complex Ginzburg–Landau Equation in the Large Time and Space Scale Limit
- Finite-dimensional models of the Ginsburg-Landau equation
- An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg--Landau Equation
- Analysis and Convergence of a Covolume Approximation of the Ginzburg--Landau Model of Superconductivity
- Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity
- A Nonstiff Euler Discretization of the Complex Ginzburg--Landau Equation in One Space Dimension
- Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations
- Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation
- 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧致差分格式
- PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES
- Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation