Energy-preserving finite volume element method for the improved Boussinesq equation
From MaRDI portal
Publication:349150
DOI10.1016/j.jcp.2014.03.053zbMath1349.76405OpenAlexW2060635646MaRDI QIDQ349150
Quanxiang Wang, Xinhua Zhang, Quanyong Zhu, Zhi-Yue Zhang
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.03.053
KdV equations (Korteweg-de Vries equations) (35Q53) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (35)
New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions ⋮ New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation ⋮ Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations ⋮ Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions ⋮ 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 ⋮ Analysis of Ciarlet-Raviart mixed finite element methods for solving damped Boussinesq equation ⋮ A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation ⋮ Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations ⋮ Conservative finite difference methods for the Boussinesq paradigm equation ⋮ Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping ⋮ The Hermite finite volume method with global conservation law ⋮ Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation ⋮ An improvement of convergence of a dispersion-relation preserving method for the classical Boussinesq equation ⋮ A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations ⋮ Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations ⋮ Energy conserving local discontinuous Galerkin methods for the improved Boussinesq equation ⋮ New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation ⋮ A new high-order energy-preserving scheme for the modified Korteweg-de Vries equation ⋮ Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation ⋮ Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions ⋮ A new dispersion-relation preserving method for integrating the classical Boussinesq equation ⋮ An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions ⋮ An analysis of implicit conservative difference solver for fractional Klein-Gordon-Zakharov system ⋮ Physical properties preserving numerical simulation of stochastic fractional nonlinear wave equation ⋮ Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system ⋮ Two-grid Methods for Finite Volume Element Approximations of Nonlinear Sobolev Equations ⋮ A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation ⋮ A MODIFIED IMMERSED FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS ⋮ A conservative splitting difference scheme for the fractional-in-space Boussinesq equation ⋮ A stabilized immersed finite volume element method for elliptic interface problems ⋮ An effective dissipation-preserving fourth-order difference solver for fractional-in-space nonlinear wave equations ⋮ New conservative finite volume element schemes for the modified Korteweg–de Vries equation ⋮ Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes
Cites Work
- Unnamed Item
- Conservative finite difference schemes for the Degasperis-Procesi equation
- A predictor-corrector scheme for the improved Boussinesq equation
- A second order numerical scheme for the improved Boussinesq equation
- Solitary waves of Boussinesq equation in a power law media
- New conservative schemes with discrete variational derivatives for nonlinear wave equations
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- Linear B-spline finite element method for the improved Boussinesq equation
- Numerical solutions of the improved Boussinesq equation
- Solitary wave solutions to a system of Boussinesq-like equations
- Numerical study of the improved Boussinesq equation
- Nonlinear and linear conservative finite difference schemes for regularized long wave equation
- A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere
- Numerical studies of the stochastic Korteweg-de Vries equation
- Quadratic finite volume element method for the improved Boussinesq equation
- Numerical simulations of the improved Boussinesq equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Error estimates of finite volume element method for the pollution in groundwater flow
- Numerical methods for a fluid mixture model
- Numerical simulation of the stochastic damped improved Boussinesq equation
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
This page was built for publication: Energy-preserving finite volume element method for the improved Boussinesq equation
