@Article{JCM-18-2,
author = {Lu, Bai-Nian and Zhang, Rui-Feng},
title = {An Explicit Pseudo-Spectral Scheme with Almost Unconditional Stability for the Cahn-Hilliard Equation},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {2},
pages = {165--172},
abstract = {<p style="text-align: justify;">In this paper, an explicit fully discrete three-level pseudo-spectral scheme with almost unconditional stability for the Cahn-Hilliard equation is proposed. Stability and convergence of the scheme are proved by Sobolev&#39;s inequalities and the bounded extensive method of the nonlinear function (B.N. Lu (1995)). The scheme possesses the almost same stable condition and convergent accuracy as the Creak-Nicloson scheme but it is an explicit scheme. Thus the iterative method to solve nonlinear algebraic system is avoided. Moreover, the linear stability of the critical point $u_0$ is investigated and the linear dispersive relation is obtained. Finally, the numerical results are supplied, which check the theoretical results. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9032},
url = {https://global-sci.com/article/85539/an-explicit-pseudo-spectral-scheme-with-almost-unconditional-stability-for-the-cahn-hilliard-equation}
}