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Spectral method in time for KdV equations

โœ Scribed by Wu Shengchang; Liu Xiaoqing


Publisher
Springer
Year
1996
Tongue
English
Weight
303 KB
Volume
17
Category
Article
ISSN
0253-4827

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โœฆ Synopsis


This paper presents a fully spectral discret&ation method for solving KdV equations with periodic boundary conditions: Cheb?sshev pseudospectral approximation in the time direction and Fourier Galerkin approximation in the spatial direction. The expansion coefficients are determined by minimizing an object fu&.tional. Rapid convergence qf the method is proved.


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we study the asymptotic hehaviour in time of the solutions of a class of evolution equations whose simplest representative would be the Korteweg de Vries equation with variable coefficients. Specific rates of decay are given in either the "conservative" or the dissipative case.