1. School of Mathematics and Information Science, Guangxi University, Nanning 530004, China;Department of Mathematics, Shanghai University, Shanghai 200444, China 2. Department of Mathematics, Shanghai University, Shanghai 200444, China
Abstract:
In this paper, the Fourier collocation method for solving the generalized Benjamin-Ono equation with periodic boundary conditions is analyzed. Stability of the semi-discrete scheme is proved and error estimate in H1/2-norm is obtained.