On large time-stepping methods for the Cahn-Hilliard equation

Yinnian He, Yunxian Liu, Tao TANG*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

144 Citations (Scopus)

Abstract

In this work, we will analyze a class of large time-stepping methods for the Cahn-Hilliard equation. The equation is discretized by Fourier spectral method in space and semi-implicit schemes in time. For first-order semi-implicit scheme, the stability and convergence properties are investigated based on an energy approach. Here stability means that the decay of energy is preserved. The numerical experiments are used to demonstrate the effectiveness of the large time-stepping approaches.

Original languageEnglish
Pages (from-to)616-628
Number of pages13
JournalApplied Numerical Mathematics
Volume57
Issue number5-7 SPEC. ISS.
DOIs
Publication statusPublished - May 2007

Scopus Subject Areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Cahn-Hilliard equation
  • Decay of energy
  • Large time-stepping method
  • Semi-implicit scheme
  • Spectral method
  • Stability

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