@Article{JCM-35-737, author = {Peng , QiujinQiao , Zhonghua and Sun , Shuyu}, title = {Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State}, journal = {Journal of Computational Mathematics}, year = {2017}, volume = {35}, number = {6}, pages = {737--765}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1611-m2016-0623}, url = {http://global-sci.org/intro/article_detail/jcm/10492.html} }