Stability and convergence analysis of second-order schemes for a diffuse interface model with peng-robinson equation of state

Qiujin Peng, Zhonghua Qiao, Shuyu Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


In this paper, we present two second-order numerical schemes to solve the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson Equation of state (EOS) for pure substance. The mass conservation, energy decay property, unique solvability and L convergence of these two schemes are proved. Numerical results demonstrate the good approximation of the fourth order equation and confirm reliability of these two schemes.

Original languageEnglish
Pages (from-to)737-765
Number of pages29
JournalJournal of Computational Mathematics
Issue number6
Publication statusE-pub ahead of print - Sep 2017


  • Convergence
  • Diffuse interface model
  • Energy stability
  • Fourth order parabolic equation

ASJC Scopus subject areas

  • Computational Mathematics

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