Volume 2, Issue 3
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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• 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.

65M12, 65M70, 76B15

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@Article{NMTMA-2-341, author = {}, 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 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 & Heping Ma. (2020). 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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