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.