Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation
DOI10.1016/j.cnsns.2022.107067OpenAlexW4312221952MaRDI QIDQ2685732
Yayun Fu, Tingting Ma, Qianqian Zheng
Publication date: 23 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.107067
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Soliton solutions (35C08) Toeplitz, Cauchy, and related matrices (15B05) Fractional partial differential equations (35R11)
Cites Work
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Linear energy-preserving integrators for Poisson systems
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Fractional quantum mechanics and Lévy path integrals
- A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
- Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
- Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian
- A new kinetic-energy-preserving method based on the convective rotational form
- A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations
- Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
- Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations
- Symplectic scheme for the Schrödinger equation with fractional Laplacian
- Fully discrete spectral methods for solving time fractional nonlinear sine-Gordon equation with smooth and non-smooth solutions
- Symplectic Geometric Algorithms for Hamiltonian Systems
- Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Geometric Numerical Integration
This page was built for publication: Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation