Spectral method in time for KdV equations
โ Scribed by Wu Shengchang; Liu Xiaoqing
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 303 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
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.