摘要
The fourth order average vector field(AVF)method is applied to solve the“Good”Boussinesq equation.The semi-discrete system of the“good”Boussi-nesq equation obtained by the pseudo-spectral method in spatial variable,which is a classical finite dimensional Hamiltonian system,is discretizated by the fourth order average vector field method.Thus,a new high order energy conservation scheme of the“good”Boussinesq equation is obtained.Numerical experiments confirm that the new high order scheme can preserve the discrete energy of the“good”Boussinesq equation exactly and simulate evolution of different solitary waves well.
基金
supported by the Innovative Science Research Project for Grad-uate Students of Hainan Province(Grant Nos.Hys2014-17)
the Visiting Project of Hainan University and the Fostering Program of Excellent Dissertation for the Gradu-ate Students of Hainan University,the Natural Science Foundation of China(Grant Nos.11161017,11561018)
the National Science Foundation of Hainan Province(Grant Nos.114003)
the Training Programs of Innovation and Entrepreneurship for Under-graduates of Hainan University.
