SPECTRAL METHOD IN TIME FOR KdV EQUATIONS  

作　　者：吴声昌 刘小清 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1996年第4期373-378,共6页应用数学和力学（英文版）

摘　　要：This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction.The expansion coefficients are determined by minimizing an object funictional.Rapid convergence of the method is proved.This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction.The expansion coefficients are determined by minimizing an object funictional.Rapid convergence of the method is proved.

关 键 词：KdV equation spectral method Galerkin approximation pseudospectral approximation 

分 类 号：O175[理学—数学]