@Article{NMTMA-2-341, author = {Zhenguo Deng and Heping Ma}, title = {Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2009}, volume = {2}, number = {3}, pages = {341--352}, 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 $H^{1/2}$-norm is obtained.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m88037}, url = {http://global-sci.org/intro/article_detail/nmtma/6028.html} }