Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations
DOI10.1016/j.apnum.2021.07.013zbMath1501.65033OpenAlexW3186433395MaRDI QIDQ822156
Publication date: 21 September 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.013
convergencesolvabilitycoupled Schrödinger-Boussinesq equationsenergy- and mass-preserving finite difference methods
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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Application of the extended simplest equation method to the coupled Schrödinger-Boussinesq equation
- An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations
- A three level linearized compact difference scheme for the Cahn-Hilliard equation
- The time-splitting Fourier spectral method for the coupled Schrödinger-Boussinesq equations
- Maximum norm error estimates of efficient difference schemes for second-order wave equations
- Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation
- Travelling wave solutions of the Schrödinger-Boussinesq system
- On the periodic Schrödinger-Boussinesq system
- Finite dimensional global attractor for dissipative Schrödinger-Boussinesq equations
- Exact explicit solutions of the nonlinear Schrödinger equation coupled to the Boussinesq equation
- A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations
- Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations
- Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system
- Finite dimensional behavior of global attractors for weakly damped nonlinear Schrödinger-Boussinesq equations
- A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations
- Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation
- Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation
- Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations
- Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations
- Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection–reaction–diffusion models
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation
- Exact solutions of coupled scalar field equations
- Introduction to nonlinear dispersive equations
- Existence of the periodic solution for the weakly damped Schrödinger-Boussinesq equation