Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation
Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 341-352.
Published online: 2009-02
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@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} }
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 -
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.
Zhenguo Deng and Heping Ma. (2009). Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation.
Numerical Mathematics: Theory, Methods and Applications. 2 (3).
341-352.
doi:10.4208/nmtma.2009.m88037
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