Energy-Preserving Algorithms for the Benjamin Equation
Energy-Preserving Algorithms for the Benjamin Equation
复制标题
本杰明方程的节能算法
DOI：
10.1007/s10915-017-0371-5
复制
发表时间：
2017
影响因子：
2.5
通讯作者：
Wang Yushun
中科院分区：
文献类型：
--
作者：
Song Yifu;Wang Yushun
This paper presents several hybrid algorithms to preserve the global energy of the Benjamin equation. The Benjamin equation is a non-local partial differential equation involving the Hilbert transform. For this sake, quite few structure-preserving integrators have been proposed so far. Our schemes are derived based on an extended multi-symplectic Hamiltonian system of the Benjamin equation by using Fourier pseudospectral method, finite element method and wavelet collocation method spatially coupled with the AVF method temporally. The local and global properties of the proposed schemes are studied. Numerical experiments are presented to demonstrate the conservative properties of the proposed numerical methods and study the evolutions of the numerical solutions of solitary waves and wave breaking.
