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) |
|---|---|
| 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 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
Fingerprint Dive into the research topics of 'Numerical solution of a Fredholm integro-differential equation modelling neural networks'. Together they form a unique fingerprint.
Cite this
Jackiewicz, Z., Rahman, M., & Welfert, B. (2006). Numerical solution of a Fredholm integro-differential equation modelling neural networks. Applied Numerical Mathematics, 56(3-4 SPEC. ISS.), 423-432. https://doi.org/10.1016/j.apnum.2005.04.020