@Article{AAMM-13-4,
author = {Wang, Danxia and Xingxing, Wang and Jia, Hongen},
title = {A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {4},
pages = {867--891},
abstract = {<p style="text-align: justify;">In this paper, a viscous Cahn-Hilliard equation with logarithmic Flory-Huggins energy potential is solved numerically by using a convex splitting scheme. This numerical scheme is based on the Backward Differentiation Formula (BDF) method in time and mixed finite element method in space. A regularization procedure is applied to logarithmic potential, which makes the domain of the regularized function $F(u)$ to be extended from $(-1,1)$ to $(-\infty,\infty)$. The unconditional energy stability is obtained in the sense that a modified energy is non-increasing. By a carefully theoretical analysis and numerical calculations, we derive discrete error estimates. Subsequently, some numerical examples are carried out to demonstrate the validity of the proposed method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0123},
url = {https://global-sci.com/article/72994/a-second-order-energy-stable-bdf-numerical-scheme-for-the-viscous-cahn-hilliard-equation-with-logarithmic-flory-huggins-potential}
}