@Article{JCM-15-203,
author = {B. N. Lu and G. H. Wan},
title = {Numerical Analysis for a Mean-Field Equation for the Ising Model with Glauber Dynamics},
journal = {Journal of Computational Mathematics},
year = {1997},
volume = {15},
number = {3},
pages = {203--218},
abstract = {<p style="text-align: justify;">In this paper, a mean-field equation of motion which is derived by Penrose (1991) for the dynamic Ising model with Glauber dynamics is considered. Various finite difference schemes such as explicit Euler scheme, predictor-corrector scheme and some implicit schemes are given and their convergence, stabilities and dynamical properties are discussed. Moreover, a Lyapunov functional for the discrete semigroup $\{ S\}_{n&gt;0}$ is constructed. Finally, numerical examples are computed and analyzed. it shows that the model is a better approximation to Cahn-Allen equation which is mentioned in Penrose (1991).</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9200.html}
}