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Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation
Authors:Zhenguo Deng  Heping Ma
Affiliation: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.
Keywords:Fourier collocation  Benjamin-Ono equation  error estimate
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