Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences

M. Rahman; Z. Jackiewicz; B. D. Welfert

doi:10.1016/j.amc.2006.07.137

Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences

M. Rahman, Z. Jackiewicz, B. D. Welfert

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

This paper extends the results of synaptically generated wave propagation through a network of connected excitatory neurons to a continuous model, defined by a Fredholm Volterra integro-differential equation (FVIDE), which includes memory effects of the past in the propagation. Stochastic approximation and numerical simulations are discussed.

Original language	English (US)
Pages (from-to)	1173-1182
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.07.137
State	Published - Mar 15 2007
Externally published	Yes

Keywords

Error
Euler-Hermite method
Fredholm Volterra integro-differential equation
Neural network
Stochastic approximation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.07.137

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abstract = "This paper extends the results of synaptically generated wave propagation through a network of connected excitatory neurons to a continuous model, defined by a Fredholm Volterra integro-differential equation (FVIDE), which includes memory effects of the past in the propagation. Stochastic approximation and numerical simulations are discussed.",

keywords = "Error, Euler-Hermite method, Fredholm Volterra integro-differential equation, Neural network, Stochastic approximation",

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AU - Jackiewicz, Z.

AU - Welfert, B. D.

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AB - This paper extends the results of synaptically generated wave propagation through a network of connected excitatory neurons to a continuous model, defined by a Fredholm Volterra integro-differential equation (FVIDE), which includes memory effects of the past in the propagation. Stochastic approximation and numerical simulations are discussed.

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KW - Euler-Hermite method

KW - Fredholm Volterra integro-differential equation

KW - Neural network

KW - Stochastic approximation

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Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences

Abstract

Keywords

ASJC Scopus subject areas

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