An Artificial Neural Network algorithm to solve third-order Emden-Fowler type problems

In this article we suggest, the hybrid algorithm based on Bessel polynomials and Artificial Neural Network (BeNN) to solve non-linear Emden-Fowler type of differential equations.The problems with singular point at x=0 which have the second order of initial values, are modeled in mathematical physics and astrophysics. An unsupervised learning algorithm for a single layer Feed-Forward Neural Network model is proposed. The error back propagation is applied for updating the network parameters and minimizing the error functions. The hidden layer is eliminated by utilizing a series expansion of Bessel polynomials. The obtained outcomes demonstrate that the present methodology is applicable and reliable

کلیدواژه ها:

Bessel artificial Neural Network ، Emden–Fowler equation ، Bessel polynomials ، Error back Propagation method ، Feed-forward Neural Network