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

Authors

  • Zhenguo Deng & Heping Ma

DOI:

https://doi.org/10.4208/nmtma.2009.m88037

Keywords:

Fourier collocation, Benjamin-Ono equation, error estimate.

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.

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Published

2009-02-01

Issue

Vol. 2 No. 3 (2009)

Section

Articles