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Analysis of chebyshev pseudospectral method for multi-dimensional generalized srlw equations
Authors:Shang Ya-dong  Guo Bo-ling
Affiliation: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
Abstract: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.
Keywords:multi-dimensional generalized SRLW equation  initial and boundary value problem  Chebyshev pseudospectral method  error estimate  
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