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

Jaemin Shin, Yongho Choi, Junseok Kim

Research output: Contribution to journalArticle

6 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

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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