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

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

Abstract and Applied Analysis · 2014

doi:10.1155/2014/863842 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY

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