An analysis of implicit conservative difference solver for fractional Klein-Gordon-Zakharov system
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Publication:2008810
DOI10.1016/j.amc.2018.10.031zbMath1429.65202OpenAlexW2903656595WikidataQ128787093 ScholiaQ128787093MaRDI QIDQ2008810
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.031
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)
Related Items (11)
Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation ⋮ Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ Time second‐order splitting conservative difference scheme for nonlinear fractional Schrödinger equation ⋮ A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations ⋮ Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations ⋮ Fast evaluation for the two-dimensional nonlinear coupled time-space fractional Klein-Gordon-Zakharov equations ⋮ Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation ⋮ Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system ⋮ A conservative splitting difference scheme for the fractional-in-space Boussinesq equation ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\)
Cites Work
- Unnamed Item
- The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
- New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation
- Energy-preserving finite volume element method for the improved Boussinesq equation
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Energy conservation issues in the numerical solution of the semilinear wave equation
- Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- A new fractional finite volume method for solving the fractional diffusion equation
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- A new fourth-order numerical algorithm for a class of nonlinear wave equations
- An energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation
- The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations
- Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations
- Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
- Conservative difference methods for the Klein-Gordon-Zakharov equations
- Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations
- Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions
- Solitary wave propagation and interactions for the Klein–Gordon–Zakharov equations in plasma physics
- Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime
- Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime
- Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
- Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A class of second order difference approximations for solving space fractional diffusion equations
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
- Polynomial spectral collocation method for space fractional advection–diffusion equation
- A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
- Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
- A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
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