Numerical solution of a Fredholm integro-differential equation modelling θ-neural networks

被引：21

作者：

Jackiewicz, Z. ^{[2
]}

Rahman, M. ^{[1
]}

Welfert, B. D. ^{[2
]}

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 | 2008年 / 195卷 / 02期

基金：

美国国家科学基金会;

关键词：

Fredholm integro-differential equation; pseudospectral methods; piecewise linear approximation; polynomial approximation; rational approximation; collocation; Gaussian quadrature; neural networks;

D O I：

10.1016/j.amc.2007.05.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose several approaches to the numerical solution of a new Fredholm integro-differential equations modelling neural networks. A solution strategy based on expansions onto standard cardinal basis functions and collocation is presented. Comparative numerical experiments illustrate specific advantages and drawbacks of the different approaches and are used to motivate alternate strategies. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：523 / 536

页数：14

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