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

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (10): 1168-1183.

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

尚亚东¹, 郭柏灵²

1. Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, P. R. China

收稿日期:2001-11-27 修回日期:2003-05-16 出版日期:2003-10-18 发布日期:2003-10-18
基金资助:
the National Natural Science Foundation of China(10271034)

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

SHANG Ya-dong¹, GUO Bo-ling²

1. Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing 100088, P. R. China

Received:2001-11-27 Revised:2003-05-16 Online:2003-10-18 Published:2003-10-18
Supported by:
the National Natural Science Foundation of China(10271034)

摘要/Abstract

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.

中图分类号:

O241

尚亚东;郭柏灵. ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(10): 1168-1183.

SHANG Ya-dong;GUO Bo-ling. ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(10): 1168-1183.

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

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

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