An Engineering Solution to Taylor Series Expansion Coefficients Based on BP Neural Network

Abstract

One method of obtaining the Taylor Series Expansion Coefficients, which are suitable for engineering application, are presented: Artificial neural network(ANN) , by virtue of its high nonlinear and learning abilities. The Taylor Series ( TS ) can be represented as a standard 3-layers feed-forward neural network after transforming in which the weights are correspond to the Taylor Coefficients. Therefore, the Taylor Coefficients can be determined by using Back Propagation (BP) algorithm. In the methods, we only need the sample space of the original function. So the method have the value of application in industries.