Numerical solution of a Fredholm integro-differential equation modelling θ˙-neural networks
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摘要
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.
论文关键词：Fredholm integro-differential equation,Pseudospectral methods,Piecewise linear approximation,Polynomial approximation,Rational approximation,Collocation,Gaussian quadrature,Neural networks
论文评审过程：Available online 24 May 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.05.031
