Abstract
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions: Chebyshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction. The expansion coefficients are determined by minimizing an object functional. Rapid convergence of the method is proved.
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Communicated by Liu Ciqun
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Shengchang, W., Xiaoqing, L. Spectral method in time for KdV equations. Appl Math Mech 17, 373–378 (1996). https://doi.org/10.1007/BF00193801
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DOI: https://doi.org/10.1007/BF00193801