Elsevier

Applied Numerical Mathematics

Volume 56, Issues 3–4, March–April 2006, Pages 423-432
Applied Numerical Mathematics

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

https://doi.org/10.1016/j.apnum.2005.04.020Get rights and content

Abstract

We compare piecewise linear and polynomial collocation approaches for the numerical solution of a Fredholm integro-differential equations modelling neural networks. Both approaches combine the use of Gaussian quadrature rules on an infinite interval of integration with interpolation to a uniformly distributed grid on a bounded interval. These methods are illustrated by numerical experiments on neural networks equations.

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