TY - JOUR
T1 - Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation
AU - Zhenguo Deng & Heping Ma
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 341
EP - 352
PY - 2009
DA - 2009/02
SN - 2
DO - http://doi.org/10.4208/nmtma.2009.m88037
UR - https://global-sci.org/intro/article_detail/nmtma/6028.html
KW - Fourier collocation, Benjamin-Ono equation, error estimate.
AB - <p style="text-align: justify;">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.</p>