非线性Boussinesq方程拟谱方法的收敛性与最优阶误差估计  

Convergence and optimal error estimation of pseudo-spectral method for nonlinear Boussinesq equation

作　　者：尹丽[1] 徐英详[1] 黄明游[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2004年第1期35-42,共8页Journal of Jilin University:Science Edition

摘　　要：讨论非线性GoodBoussinesq方程的拟谱方法与全离散计算格式,分析了半离散与全离散近似解的收敛性,并给出最优阶误差估计.We have studied the numerical solutions to the nonlinear Boussinesq equation using pseudo-spectral method and proved the convergence and optimal convergence rate of the semi-discrete and full-discrete solutions to the real solutions of the continous problem.

关 键 词：非线性Good BOUSSINESQ方程 拟谱方法 收敛性 误差估计 

分 类 号：O241.82[理学—计算数学]