@Article{AAM-41-194,
author = {Mandal , MoumitaChowdhury , Manisha and Shen , Jie},
title = {Stability and Convergence Analysis of a Linear Energy Stable Scheme for a Cahn-Hilliard Model with Smooth or Weakly Singular Non-Local Term},
journal = {Annals of Applied Mathematics},
year = {2025},
volume = {41},
number = {2},
pages = {194--218},
abstract = {<p style="text-align: justify;">We consider a Cahn-Hilliard gradient flow model with a free energy
functional, which contains a non-local term in addition to linear and non-linear
local terms. The non-local terms can be based on smooth and weakly singular
kernel operators. We establish the well-posedness of this problem, construct an
unconditional energy stable scheme, and carry out a stability and convergence
analysis. Several numerical results are presented to illustrate the efficiency and
robustness of the proposed scheme.</p>},
issn = {3105-2266},
doi = {https://doi.org/10.4208/aam.OA-2025-0004},
url = {http://global-sci.org/intro/article_detail/aam/24148.html}
}