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Matsuo, T. (2007) New Conservative Schemes with Discrete Variational Derivatives for Nonlinear Wave Equations. Journal of Computational and Applied Mathematics, 203, 32-56.
https://doi.org/10.1016/j.cam.2006.03.009

has been cited by the following article:

• TITLE: Numerical Solutions of the Improved Boussinesq Equation with Stokes Damping

  AUTHORS: Quanxiang Wang

  KEYWORDS: Energy Dissipation, Improved Boussinesq Equation, Finite Volume Element, Stokes Damping

  JOURNAL NAME: Applied Mathematics, Vol.12 No.4, April 6, 2021

  ABSTRACT: In this paper, we propose new finite volume element schemes to numerically solve the improved Boussinesq equation with Stokes damping. The new schemes can inherit characteristic properties of the conservation of mass and the decrease of total energy from the improved Boussinesq equation with Stokes damping. Numerical experiments illustrate that the proposed schemes are second-order accuracy in space and time.