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Analysis of chebyshev pseudospectral method for multi-dimensional generalized srlw equations |
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| Authors: | Shang Ya-dong Guo Bo-ling |
| Institution: | 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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