@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} }