Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions
DOI10.1007/s11075-023-01634-6OpenAlexW4385984247MaRDI QIDQ6202804
Wenjun Cai, Dongdong Hu, Linghua Kong, Yu Shun Wang
Publication date: 26 March 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-023-01634-6
convergenceunique solvabilityGaussian kernelenergy-preserving algorithmGSAV approachnonlocal coupled sine-Gordon equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Soliton solutions (35C08) Integro-partial differential equations (35R09)
Cites Work
- Unnamed Item
- Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation
- Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications
- Exact solutions of coupled sine-Gordon equations
- Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations
- Spectral method for solving the system of equations of Schrödinger- Klein-Gordon field
- A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- The scalar auxiliary variable (SAV) approach for gradient flows
- Existence and uniqueness of solutions for a type of generalized Zakharov system
- Small-amplitude solitons in a nonlocal sine-Gordon model
- Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains
- Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains
- A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations
- Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations
- Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction
- Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- On the exchange of energy in coupled Klein --- Gordon equations
- The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations
- IMEX Hermite--Galerkin Spectral Schemes with Adaptive Time Stepping for the Coupled Nonlocal Gordon-Type Systems in Multiple Dimensions
- Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation
- An Exponential Wave Integrator Sine Pseudospectral Method for the Klein--Gordon--Zakharov System
- Unconditional convergence of conservative spectral Galerkin methods for the coupled fractional nonlinear Klein-Gordon-Schrödinger equations
- A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids
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