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.