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

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 2006

Fingerprint

Fredholm Equation
Integrodifferential equations
Integro-differential Equation
Numerical Solution
Neural Networks
Neural networks
Gaussian Quadrature
Infinite Interval
Piecewise Polynomials
Quadrature Rules
Collocation
Modeling
Piecewise Linear
Interpolation
Interpolate
Numerical Experiment
Polynomials
Grid
Interval
Experiments

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

Numerical solution of a Fredholm integro-differential equation modelling neural networks. / Jackiewicz, Zdzislaw; Rahman, M.; Welfert, Bruno.

In: Applied Numerical Mathematics, Vol. 56, No. 3-4 SPEC. ISS., 03.2006, p. 423-432.

Research output: Contribution to journalArticle

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