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

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/863842

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:863842

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