@Article{JCM-35-6, author = {Qiujin, Peng and Zhonghua, Qiao 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 = {https://global-sci.com/article/84536/stability-and-convergence-analysis-of-second-order-schemes-for-a-diffuse-interface-model-with-peng-robinson-equation-of-state} }