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

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17 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)423-432
Number of pages10
JournalApplied Numerical Mathematics
Volume56
Issue number3-4 SPEC. ISS.
DOIs
StatePublished - Mar 1 2006

Keywords

  • Euler-Hermite and Euler-Laguerre method
  • Fredholm integro-differential equation
  • Neural networks

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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