Quadratic finite volume element method for the improved Boussinesq equation

DOI10.1063/1.3672197zbMath1273.35246OpenAlexW2041748370MaRDI QIDQ2853628

Fu-Qiang Lu, Zhi-Yue Zhang

Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3672197

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Nonlinear higher-order PDEs (35G20) Blow-up in context of PDEs (35B44) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (19)

A <scp>F</scp>ourier pseudospectral method for a generalized improved <scp>B</scp>oussinesq equation ⋮ Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations ⋮ Energy-preserving finite volume element method for the improved Boussinesq equation ⋮ Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method ⋮ An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation ⋮ Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation ⋮ A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation ⋮ Conservative finite difference methods for the Boussinesq paradigm equation ⋮ An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation ⋮ A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere ⋮ Numerical simulation of the stochastic damped improved Boussinesq equation ⋮ A new approach on numerical solutions of the improved Boussinesq type equation using quadratic B-spline Galerkin finite element method ⋮ New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation ⋮ Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation ⋮ A new dispersion-relation preserving method for integrating the classical Boussinesq equation ⋮ A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation ⋮ A conservative splitting difference scheme for the fractional-in-space Boussinesq equation ⋮ New conservative finite volume element schemes for the modified Korteweg–de Vries equation ⋮ High-order upwind finite volume element schemes for modelling of neuronal firing

Cites Work

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