@Article{AAMM-9-1162,
author = {Peng , Qiujin},
title = {A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {9},
number = {5},
pages = {1162--1188},
abstract = {<p style="text-align: justify;">We present a convex-splitting scheme for the fourth order parabolic equation
derived from a diffuse interface model with Peng-Robinson equation of state for
pure substance. The semi-implicit scheme is proven to be uniquely solvable, mass conservative,
unconditionally energy stable and $L^∞$ convergent with the order of&nbsp;$\mathcal{O}(∆t+h^2)$. The numerical results verify the effectiveness of the proposed algorithm and also
show good agreement of the numerical solution with laboratory experimental results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0024},
url = {http://global-sci.org/intro/article_detail/aamm/12195.html}
}