6 FitzHugh-Nagumo in 2D

 6.1 Example 1
 6.2 Example 2

6.1 Example 1

The equations to solve are the following on the unit square in 2D.

pict

Using a = 0.1,γ = 2,ϵ = 0.005,D = 5 × 10−5,I = 0,  hence the PDE’s are

pict

Initial conditions, t = 0

pict

Boundary conditions are homogeneous Neumann for v  . (I solved this numerically, fractional step method. ADI for the diffusion solve).

  

6.2 Example 2

The equations to solve are the following on the unit square in 2D.

pict

Using a = 0.1,γ = 2,ϵ = 0.005,D = 5 × 10−5,I = 0,  hence the PDE’s are

pict

Initial conditions, t = 0

pict

Boundary conditions are homogeneous Neumann for v  . (I solved this numerically, fractional step method. ADI for the diffusion solve).