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

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 collocati...

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Bibliographic Details
Published in:Abstract and applied analysis 2014-01, Vol.2014
Main Authors: Bhowmik, Samir Kumar, Al Faqih, Feras M, Islam, Md Nazmul
Format: Article
Language:English
Subjects:
Aircraft
Approximation
Finite element analysis
Mathematics
Neural networks
Phase transitions
Online Access:Get full text
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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 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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/863842