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SPECTRAL METHOD IN TIME FOR KdV EQUATIONS 被引量:1

SPECTRAL METHOD IN TIME FOR KdV EQUATIONS
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摘要 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 funictional.Rapid convergence of the method is proved. 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 funictional.Rapid convergence of the method is proved.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第4期373-378,共6页 应用数学和力学(英文版)
关键词 KdV equation spectral method Galerkin approximation pseudospectral approximation KdV equation spectral method Galerkin approximation pseudospectral approximation
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