A second order accuracy in time, Fourier pseudo-spectral numerical scheme for ``good Boussinesq equation
DOI10.3934/dcdsb.2020089zbMath1445.65040OpenAlexW3014873975MaRDI QIDQ784320
Publication date: 3 August 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020089
Fourier pseudospectral methodstability and convergencesecond-order time-stepping``good Boussinesq equation
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
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- High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
- Improved local well-posedness for the periodic ``good Boussinesq equation
- A predictor-corrector scheme for the improved Boussinesq equation
- A second order numerical scheme for the improved Boussinesq equation
- Legendre and Chebyshev spectral approximations of Burgers' equation
- On the operator splitting and integral equation preconditioned deferred correction methods for the ``good Boussinesq equation
- Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- Numerical Solutions of the Good Boussinesq Equation
- The Adomian decomposition method for solving the Boussinesq equation arising in water wave propagation
- A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part II: boundary conditions and validation
- On the periodic “good” Boussinesq equation
- Approximation of Burgers' equation by pseudo-spectral methods
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
- Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations
- Pseudospectral Method for the "Good" Boussinesq Equation
- Convergence of Spectral Methods for Burgers’ Equation
- Convergence of Fourier Methods for the Navier–Stokes Equations
- A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- Spectral Methods
- A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
- Galerkin Methods for First Order Hyperbolics: An Example
