Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation  

作　　者：ZHANGRui-feng YANGHui 

机构地区：[1]CollegeofMathematicsandInformationScience,HenanUniversity,Faifeng475001,China [2]DepartmentofBasicCourses,ZhengzhouRailwayVocationalandTechnicalCollege,Zhengzhou450052,China

出　　处：《Chinese Quarterly Journal of Mathematics》2004年第3期267-272,共6页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of Henan Educational Committee(2003110005);Supported by the Natural Science Foundation of Henan University(XK02069)

摘　　要：In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded extensive method of the nonlinear function. Finally, the numerical examples are proposed.

关 键 词：Kdv-Burgers equation pseudo-spectral scheme numerical experiments 

分 类 号：O241.82[理学—计算数学]