A note on some numerical approaches to solve a \(\dot{\theta}\) neuron networks model. (English) Zbl 1474.65490

Bhowmik, Samir Kumar; Al Faqih, Feras M.; Islam, Md. Nazmul

Abstr. Appl. Anal. 2014, Article ID 863842, 7 p. (2014).

Summary: 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 \(\dot{\theta}\) 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.

MSC:

65R20	Numerical methods for integral equations
92B20	Neural networks for/in biological studies, artificial life and related topics

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