@Article{IJNAMB-5-339,
author = {JICHUN LI AND JIANWEI LI},
title = {High-Order Compact Difference Methods for Simulating wave Propagations <br> in Excitable Media.},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2014},
volume = {5},
number = {4},
pages = {339--346},
abstract = {In this paper, we present a study of some high-order compact difference schemes
for solving the Fitzhugh-Nagumo equations governed by two coupled time-dependent nonlinear
reaction diffusion equations in two variables. Solving the Fitzhugh-Nagumo equations is quite
challenging, since the equations involve spatial and temporal dynamics in two different scales
and the solutions exhibit shock-like waves. The numerical schemes employed have sixth order
accuracy in space, and fourth order in time if the fourth order Runge-Kutta method is adopted
for time marching. To improve effciency, we also propose an ADI scheme (for two dimensional
problems), which has second order accuracy in time. Numerical results are presented for plane
wave propagation in one dimension and spiral waves for two dimensions.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/238.html}
}