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High Order Energy-Preserving Method of the “Good” Boussinesq Equation 被引量:1
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作者 Chaolong Jiang Jianqiang Sun +1 位作者 xunfeng he Lanlan Zhou 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE CSCD 2016年第1期111-122,共12页
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 variabl... 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. 展开更多
关键词 “Good”Boussinesq equation average vector field method solitary waves conservation law
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