Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation

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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.

Keywords:

Fourier collocation Benjamin-Ono equation error estimate.
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DOI

10.4208/nmtma.2009.m88037