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 language | English (US) |
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Pages (from-to) | 423-432 |
Number of pages | 10 |
Journal | Applied Numerical Mathematics |
Volume | 56 |
Issue number | 3-4 SPEC. ISS. |
DOIs | |
State | Published - Mar 2006 |
Keywords
- Euler-Hermite and Euler-Laguerre method
- Fredholm integro-differential equation
- Neural networks
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics