ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS  

作　　者：尚亚东 郭柏灵 

机构地区：[1]Department of Mathematics, Guangzhou University [2]Institute of Applied Physics and Computational Mathematics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第10期1168-1183,共16页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina(1 0 2 71 0 3 4)

摘　　要：The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained.The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained.

关 键 词：multi-dimensional generalized SRLW equation initial and boundary value problem Chebyshev pseudospectral method error estimate 

分 类 号：O241[理学—计算数学]