@Article{JCM-38-469,
author = {Cai , LiSun , YeJing , FeifeiLi , YiqiangShen , Xiaoqin and Nie , Yufeng},
title = {A Fully Discrete Implicit-Explicit Finite Element Method for Solving the FitzHugh-Nagumo Model},
journal = {Journal of Computational Mathematics},
year = {2020},
volume = {38},
number = {3},
pages = {469--486},
abstract = {<p style="text-align: justify;">This work develops a fully discrete implicit-explicit finite element scheme for a parabolic-ordinary system with a nonlinear reaction term which is known as the FitzHugh-Nagumo
model from physiology. The first-order backward Euler discretization for the time derivative, and an implicit-explicit discretization for the nonlinear reaction term are employed
for the model, with a simple linearization technique used to make the process of solving equations more efficient. The stability and convergence of the fully discrete implicit-explicit
finite element method are proved, which shows that the FitzHugh-Nagumo model is accurately solved and the trajectory of potential transmission is obtained. The numerical
results are also reported to verify the convergence results and the stability of the proposed
method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1901-m2017-0263},
url = {http://global-sci.org/intro/article_detail/jcm/15796.html}
}