Stability and convergence of the spectral Galerkin method for the Cahn‐Hilliard equation |
| |
| Authors: | Yinnian He Yunxian Liu |
| |
| Institution: | 1. Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China;2. School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, People's Republic of China |
| |
| Abstract: | A spectral Galerkin method in the spatial discretization is analyzed to solve the Cahn‐Hilliard equation. Existence, uniqueness, and stabilities for both the exact solution and the approximate solution are given. Using the theory and technique of a priori estimate for the partial differential equation, we obtained the convergence of the spectral Galerkin method and the error estimate between the approximate solution uN(t) and the exact solution u(t). © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008 |
| |
| Keywords: | Cahn‐Hilliard equation stability convergence error estimate |
|
|
