Spectral analysis for periodic solutions of the Cahn–Hilliard equation on({mathbb{R}})
✍ Scribed by Peter Howard
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 363 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1021-9722
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## 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 differ
The particular approximate solution of the initial boundary valued problem to the Cahn-Hilliard equation is provided. The Fourier Method is combined with the Adomian's decomposition method in order to provide an approximate solution that satisfy the initial and the boundary conditions. The approxima