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Volume 9, Issue 4
The Spectral Method for the Generalized Kuramoto-Sivashinsky Equation

Bo-Ling Guo & Xiang-Hui Wu

J. Comp. Math., 9 (1991), pp. 330-336.

Published online: 1991-09

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  • Abstract

A spectral method is proposed, the existence and uniqueness of the global and smooth solution are proved for the periodic initial value problem of the generalized K-S equation. The error estimates are established and the convergence is proved for the approximate solution of the spectral method.

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@Article{JCM-9-330, author = {Guo , Bo-Ling and Wu , Xiang-Hui}, title = {The Spectral Method for the Generalized Kuramoto-Sivashinsky Equation}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {4}, pages = {330--336}, abstract = {

A spectral method is proposed, the existence and uniqueness of the global and smooth solution are proved for the periodic initial value problem of the generalized K-S equation. The error estimates are established and the convergence is proved for the approximate solution of the spectral method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9408.html} }
TY - JOUR T1 - The Spectral Method for the Generalized Kuramoto-Sivashinsky Equation AU - Guo , Bo-Ling AU - Wu , Xiang-Hui JO - Journal of Computational Mathematics VL - 4 SP - 330 EP - 336 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9408.html KW - AB -

A spectral method is proposed, the existence and uniqueness of the global and smooth solution are proved for the periodic initial value problem of the generalized K-S equation. The error estimates are established and the convergence is proved for the approximate solution of the spectral method.

Guo , Bo-Ling and Wu , Xiang-Hui. (1991). The Spectral Method for the Generalized Kuramoto-Sivashinsky Equation. Journal of Computational Mathematics. 9 (4). 330-336. doi:
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