Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations
DOI10.1016/J.APNUM.2022.08.013zbMath1500.65040OpenAlexW4292939697MaRDI QIDQ2085667
Publication date: 18 October 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.08.013
PDEs in connection with fluid mechanics (35Q35) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
- Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
- The time-splitting Fourier spectral method for the coupled Schrödinger-Boussinesq equations
- On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
- Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation
- Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations
- Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations
- Finite dimensional global attractor for dissipative Schrödinger-Boussinesq equations
- The scalar auxiliary variable (SAV) approach for gradient flows
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations
- Finite dimensional behavior of global attractors for weakly damped nonlinear Schrödinger-Boussinesq equations
- A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations
- Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
- A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
- Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows
- Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system
- Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- A note on compact finite difference method for reaction-diffusion equations with delay
- Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations
- Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation
- High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach
- The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations
- Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system
- Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger–Boussinesq equations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- The behavior of attractors for damped Schrödinger-Boussinesq equation
- Existence of the periodic solution for the weakly damped Schrödinger-Boussinesq equation
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