Dynamic analysis of wave scenarios based on enhanced numerical models for the good Boussinesq equation
DOI10.1016/j.rinam.2023.100416OpenAlexW4389749400MaRDI QIDQ6197591
Ben Wongsaijai, Kanyuta Poochinapan
Publication date: 20 March 2024
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.rinam.2023.100416
convergence analysisshallow water equationblow-up solutiongood Boussinesq equationconservative propertiespseudo-compact difference method
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25) 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) Blow-up in context of PDEs (35B44)
Cites Work
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- New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation
- A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
- A numerical study for the KdV and the good Boussinesq equations using Fourier Chebyshev tau meshless method
- Numerical implementation for solving the symmetric regularized long wave equation
- New conservative schemes with discrete variational derivatives for nonlinear wave equations
- On Tsertvadze's difference scheme for the Kuramoto-Tsuzuki equation
- On the operator splitting and integral equation preconditioned deferred correction methods for the ``good Boussinesq equation
- Two conservative difference schemes for a model of nonlinear dispersive equations
- A fourth order finite difference method for the good Boussinesq equation
- Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
- The solution of the Boussinesq equation using the method of lines
- Numerical investigation for the solitary waves interaction of the good Boussinesq equation.
- Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation
- Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations
- Compact structure-preserving approach to solitary wave in shallow water modeled by the Rosenau-RLW equation
- Optimal decay rates of the dissipative shallow water waves modeled by coupling the rosenau-RLW equation and the rosenau-Burgers equation with power of nonlinearity
- A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
- The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes
- A conservation difference scheme of generalized Boussinesq equation
- Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation
- Local structure-preserving algorithms for the ``good Boussinesq equation
- A second order numerical scheme for the solution of the one-dimensional Boussinesq equation
- The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
- A robust error analysis of the OSC method for a multi-term fourth-order sub-diffusion equation
- An efficient ADI difference scheme for the nonlocal evolution problem in three-dimensional space
- Numerical Solutions of the Good Boussinesq Equation
- The Adomian decomposition method for solving the Boussinesq equation arising in water wave propagation
- Numerical simulations of the Boussinesq equation by He's variational iteration method
- Solitary waves on nonlinear elastic rods. I
- Pseudospectral Method for the "Good" Boussinesq Equation
- Stability of solitary waves in shallow water
- Efficient structure‐preserving schemes for good Boussinesq equation
- Linearized numerical schemes for the Boussinesq equation
- A new Boussinesq method for fully nonlinear waves from shallow to deep water
- Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave
- Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation
- Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
- Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes
- A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity
- An implicit robust numerical scheme with graded meshes for the modified Burgers model with nonlocal dynamic properties
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