APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

Nouredin Parandin ¹ , Somayeh Ezadi ²

1 - http://iauksh.ac.ir Islamic Azad University Iran, Islamic Republic of Department of mathematics.
2 -

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords: Ordinary differential equations, MLP Neural network, bfgs method,

Abstract :

In this paper, we introduce a hybrid approach based on neural network and optimization teqnique to solve ordinary differential equation. In proposed model we use heyperbolic secont transformation function in hiden layer of neural network part and bfgs teqnique in optimization part. In comparison with existing similar neural networks proposed model provides solutions with high accuracy. Numerical examples with simulation results illustrate the effectiveness of the proposed model.