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

被引：6

作者：

Rahman, M.

Jackiewicz, Z.

Welfert, B. D.

机构：

[1] Univ N Florida, Dept Math & Stat, Jacksonville, FL 32224 USA

[2] Arizona State Univ, Dept Math & Stat, Tempe, AZ 85287 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期

关键词：

Fredholm Volterra integro-differential equation; Euler-Hermite method; stochastic approximation; error; neural network;

D O I：

10.1016/j.amc.2006.07.137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1173 / 1182

页数：10

共 11 条

[1]

Davis P, 1984, Methods of Numerical Integration, VSecond

[2]

GIKHMANN II, 1973, AMS TRANSL, V12

[3] An algorithmic introduction to numerical simulation of stochastic differential equations [J].