THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATIONS  

作　　者：Guo, B Xiang, XM 

机构地区：[1]SHANGHAI NORMAL UNIV,SHANGHAI,PEOPLES R CHINA [2]INST APPL PHYS & COMPUTAT MATH,BEIJING,PEOPLES R CHINA

出　　处：《Journal of Computational Mathematics》1997年第1期1-13,共13页计算数学（英文）

摘　　要：In this paper we use the spectral method to analyse the generalized Kuramoto-Sivashinsky equations. We prove the existence and uniqueness of global smooth solution of the equations. Finally, we obtain the error estimation between spectral approximate solution and exact solution on large time.In this paper we use the spectral method to analyse the generalized Kuramoto-Sivashinsky equations. We prove the existence and uniqueness of global smooth solution of the equations. Finally, we obtain the error estimation between spectral approximate solution and exact solution on large time.

关 键 词：UN EH THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATIONS 

分 类 号：O241[理学—计算数学]