A Note on Some Numerical Approaches to Solve a Neuron Networks Model

Figure 2

Here we present contour of cos(𝜃_ℎ(𝑥,𝑡)) for 0≤𝑥≤1,  0≤𝑡≤10. Here we use 𝑁=128 space nodes to compute the spatial integrals and then use various choices of Δ𝑡 for time integration. Here (a) backward Euler, (b) Trapezoidal method.

(a)

(b)