Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations
From MaRDI portal
Publication:6156114
DOI10.1007/s11075-022-01453-1OpenAlexW4312184434MaRDI QIDQ6156114
Qihong Wang, Jingliang Chen, Dingwen Deng
Publication date: 12 June 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01453-1
error estimationssine-Gordon equationscoupled sine-Gordon equationsDu Fort-Frankel difference schemesenergy conservations
Cites Work
- Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations
- Exact solutions of coupled sine-Gordon equations
- A family of new fourth-order solvers for a nonlinear damped wave equation
- Two energy conserving numerical schemes for the sine-Gordon equation
- Solutions of the three-dimensional sine-Gordon equation
- Numerical solution of the sine-Gordon equation
- Numerical solution of a nonlinear Klein-Gordon equation
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- A fourth-order AVF method for the numerical integration of sine-Gordon equation
- Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
- New analysis of the Du Fort-Frankel methods
- A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation
- Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients
- Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
- Energy-preserving finite element methods for a class of nonlinear wave equations
- Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
- The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions
- Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- An effective dissipation-preserving fourth-order difference solver for fractional-in-space nonlinear wave equations
- The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations
- A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
- Exact traveling wave solutions and dynamical behavior for the \((n+1)\)-dimensional multiple sine-Gordon equation
- On the exchange of energy in coupled Klein --- Gordon equations
- The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
- The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations
- New exact solutions for the sine-Gordon equation in 2+1 dimensions
- Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation
- Solutions of the sine-Gordon equation in higher dimensions
- An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient
- On Convergence and Stability of the Explicit Difference Method for Solution of Nonlinear Schrödinger Equations
- High Order Symplectic Schemes for the Sine-Gordon Equation*
- A Wigner-Measure Analysis of the Dufort--Frankel Scheme for the Schrödinger Equation
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Dufort–Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
This page was built for publication: Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations