%0 Journal Article
%T Chebyshev generalized finite spectral method for linear and nonlinear waves<br>线性与非线性波的Chebyshev广义有限谱模拟
%A Zhan Jie-Min
%A Lin Dong
%A Li Yok-Sheng
%A <br>詹杰民
%A 林 东
%A 李毓湘
%J 物理学报
%D 2007
%I 
%X A Chebyshev generalized finite spectral method is proposed for 2-D linear and nonlinear waves. To attain high accuracy in time discretization, the fourth-order Adams-Bashforth-Moulton predictor and corrector scheme was used. The proposed numerical scheme is validated by applications to the linear shallow water equations and extended Boussinesq equations, where analytical solution and experimental data are available for comparison respectively. Numerical results agree very well with the corresponding analytical solution or experimental data in all cases.
%K Chebyshev generalized finite spectrum
%K linear wave
%K nonlinear wave<br>Chebyshev广义有限谱，
%K 线性波，
%K 非线性波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=0F7D67B7444085D2&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=DF92D298D3FF1E6E&sid=B699C6A898F5C299&eid=06C2BD7B59DDEEEF&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=13