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

Abstract EN

Space time integration plays an important role in analyzing scientific and engineering models.

In this paper, we consider an integrodifferential equation that comes from modeling θ˙ neuron networks.

Here, we investigate various schemes for time discretization of a theta-neuron model.

We use collocation and midpoint quadrature formula for space integration and then apply various time integration schemes to get a full discrete system.

We present some computational results to demonstrate the schemes.