Efficient numerical algorithms for the solution of ``good Boussinesq equation in water wave propagation

DOI10.1016/j.cpc.2011.07.004zbMath1457.65147OpenAlexW1976406719MaRDI QIDQ1943058

Zohreh Asgari, Akbar Mohebbi

Publication date: 15 March 2013

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2011.07.004

zbMATH Keywords

Boussinesq equationconservation of masssolitonintegrating factorspectral methodshigh accuracyexponential time differencing

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation, Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform, Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation, A fourth order one step method for numerical solution of good Boussinesq equation, Numerical solutions of Boussinesq equation using Galerkin finite element method, High-order half-step compact numerical approximation for fourth-order parabolic PDEs, Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations, A fourth order finite difference method for the good Boussinesq equation, Symplectic schemes for linear stochastic Schrödinger equations with variable coefficients, Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions, A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the ``good Boussinesq equation

Uses Software

• Matlab

Cites Work

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