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.
- Euler-Hermite and Euler-Laguerre method
- Fredholm integro-differential equation
- Neural networks
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics