A finite difference method for the Fitzhugh-Nagumo equations
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
In this paper, we propose a special finite difference method to approximate traveling wave solutions of the FitzHugh-Nagumo equations. Consistency and stability of the method have been investigated. Numerical results are provided to illustrate the performance of the method. The threshold phenomenon of the neural system have also been studied numerically.
Feng, Hongsong and Lin, Runchang, "A finite difference method for the Fitzhugh-Nagumo equations" (2015). Mathematics & Physics Faculty Publications. 12.