Numerical solution of a Fredholm integro-differential equation modelling over(θ, ̇)-neural networks

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17 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)523-536
Number of pages14
JournalApplied Mathematics and Computation
Volume195
Issue number2
DOIs
StatePublished - Feb 1 2008

Keywords

  • Collocation
  • Fredholm integro-differential equation
  • Gaussian quadrature
  • Neural networks
  • Piecewise linear approximation
  • Polynomial approximation
  • Pseudospectral methods
  • Rational approximation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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