For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseudospectral app...For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseudospectral approximation in the time direction. The expansion coefficients are determined by means of minimizing an object functional, and rapid convergence of the method is proved.展开更多
文摘For solving Burgers' equation with periodic boundary conditions, this paper preseats a fully spectral discretisation method: Fourier Galerkin approximation in the spatial direction and Chebyshev pseudospectral approximation in the time direction. The expansion coefficients are determined by means of minimizing an object functional, and rapid convergence of the method is proved.
