Fitzhugh–Nagumo Equation

Publication year: 2012
Source: Traveling Wave Analysis of Partial Differential Equations, 2012, Pages 147-172

Graham W., Griffiths , William E., Schiesser

 Summary: The Fitzhugh-Nagumo (F-N) partial differential equation (PDE) is an extension of the diffusion equation of Chapter 3 with a linear and a cubic source term. The BCs include a single pulse and a train of pulses in time. A numerical solution is computed by the method of lines (MOL), including detailed discussion of the Matlab routines and the numerical and graphical output. The appendix to this chapter analyses the spatially distributed, coupled Fitzhugh-Nagumo equations, specifically, how the application of an external stimulus to an axon can result in a traveling wave along an excitable medium (e.g., nerve). In addition, the…