Finite difference approximate solutions for the Cahn-Hilliard equation
โ Scribed by N. Khiari; T. Achouri; M.L. Ben Mohamed; K. Omrani
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 162 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
We consider in this article the Cahn-Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray-Schauder principle, the existence and uniqueness of sol
A number of improved finite-difference solutions of explicit form have been reported recently. The choice of a particular solution of these improved explicit forms is dependent on the value of the non-dimensional time step as well as whether the process involves cooling or heating. The conditions fo
## Abstract A spectral Galerkin method in the spatial discretization is analyzed to solve the CahnโHilliard 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
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