We present an unconditionally stable finite difference method for solving the viscous Cahn-Hilliard equation. We prove the unconditional stability of the proposed scheme by using the decrease of a discrete functional. We present numerical results that validate the convergence and unconditional stability properties of the method. Further, we present numerical experiments that highlight the different temporal evolutions of the Cahn-Hilliard and viscous Cahn-Hilliard equations.
|Number of pages||11|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 2014 Jan 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics