An unconditionally stable numerical method for the viscous cahn-hilliard equation

Jaemin Shin, Yongho Choi, Junseok Kim

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1737-1747
Number of pages11
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume19
Issue number6
DOIs
Publication statusPublished - 2014 Jan 1

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Unconditional Stability
Cahn-Hilliard Equation
Unconditionally Stable
Numerical methods
Numerical Methods
Cahn-Hilliard
Finite difference method
Difference Method
Finite Difference
Numerical Experiment
Numerical Results
Decrease
Experiments

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

An unconditionally stable numerical method for the viscous cahn-hilliard equation. / Shin, Jaemin; Choi, Yongho; Kim, Junseok.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 19, No. 6, 01.01.2014, p. 1737-1747.

Research output: Contribution to journalArticle

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