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AN UNCONDITIONALLY STABLE NUMERICAL METHOD FOR THE VISCOUS CAHN HILLIARD EQUATION
- Authors
- Shin, Jaemin; Choi, Yongho; Kim, Junseok
- Issue Date
- 8월-2014
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Keywords
- Cahn-Hilliard equation; viscous Cahn-Hilliard equation; unconditionally stable scheme; finite-difference method; multigrid method
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.19, no.6, pp.1737 - 1747
- Indexed
- SCIE
SCOPUS
- Journal Title
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- Volume
- 19
- Number
- 6
- Start Page
- 1737
- End Page
- 1747
- ISSN
- 1531-3492
- Abstract
- 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.
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