A Class Hermite Pseudospectral Approximate with ω(x) ≡ 1 and Application to Reaction-diffusion Equation  

作　　者：Xin-min Xiang 

机构地区：[1]School of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第3期405-414,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Sciences Foundation of China (No. 10771142) and (No. 10671130)

摘　　要：In this paper, we continue the discussion of [12] to establish the Hermite pseudospectral method with weight ω（x） = 1. As an application, we consider the pseudospectral approximation of the reaction-diffusion equation on the whole line, we prove the existence of the approximate attractor and give the error estimate for the approximate solution.In this paper, we continue the discussion of [12] to establish the Hermite pseudospectral method with weight ω（x） = 1. As an application, we consider the pseudospectral approximation of the reaction-diffusion equation on the whole line, we prove the existence of the approximate attractor and give the error estimate for the approximate solution.

关 键 词：Hermite pseudospectral method Hermite function system which the weight is 1 Reaction-diffusionequation Global attractor Error estimate 

分 类 号：O175.2[理学—数学] O151.21[理学—基础数学]