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
Convergence of spectral method in time for Burgers' equation
β Scribed by Shengchang Wu; Xiaoqing Liu
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1997
- Tongue
- English
- Weight
- 287 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A spectral Galerkin method in the spatial discretization is analyzed to solve the CahnβHilliard equation. Existence, uniqueness, and stabilities for both the exact solution and the approximate solution are given. Using the theory and technique of a priori estimate for the partial differ
A wide range of applications requires an accurate solution of a particular Hamilton-Jacobi (H-J) equation known as the Eikonal equation. In this paper, we employ the Chebyshev pseudospectral viscosity method to solve this equation. This method essentially consists of adding a spectral viscosity to t