Neural Network Algorithm for Solving Numerical Integration
XU Li-ying, Lijun Li · Jisuanji fangzhen · 2008
An algorithm of neural network based on the Fourier series for solving numerical integration was proposed.The basic idea is to use the neural network output to approximate to the integrand.In order to ensure the convergence of algorithm,the convergence theorem of neural network algorithm and the theorem for solving numerical integration were given and proved.This algorithm was validated by the simulation examples of numerical integration.The results show the presented numerical integration algorithm has value in engineering practice.