一类KS型方程大时间问题的Fourier拟谱逼近  

THE FOURIER PSEUDO-SPECTRAL APPROXIMATION OF THE LARGE-TIME PROBLEM OF A KS PATTERN EQUATION

作　　者：梁宗旗[1] 

机构地区：[1]集美大学理学院,厦门361021

出　　处：《高等学校计算数学学报》2005年第S1期114-118,共5页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 引言本文讨论如下一类KS型方程的周期初值问题: 其中α,β,γ,ν是大于0的实常数,u(x,t)是未知实值函数,u0(x)是以2π为周期的已知实值函数．The paper is concerned for a KS equation with initial value problems, The long-time behaviour of the solutions for semi-discrete Fourier pseudo-spectral scheme is studied.The convergence and the exisitence of the global attractors for the discrete system is proposed.

关 键 词：KS pattern equation semi-discrete Fourier pseudo-spectral CONVERGENCE global attractor. 

分 类 号：O241.82[理学—计算数学]