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多维广义SRLW方程的Chebyshev拟谱方法分析 被引量:15
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作者 尚亚东 郭柏灵 《应用数学和力学》 EI CSCD 北大核心 2003年第10期1035-1048,共14页
 考虑了一类多维的广义对称正则长波(SRLW)方程的齐次初边值问题Chebyshev拟谱逼近,构造了全离散的Chebyshev拟谱格式。
关键词 多维广义srlw方程 初边值问题 Chebyshev拟谱方法 误差估计
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ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS
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作者 尚亚东 郭柏灵 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第10期1168-1183,共16页
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 discr... 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. 展开更多
关键词 multi-dimensional generalized srlw equation initial and boundary value problem Chebyshev pseudospectral method error estimate
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