APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS

International Journal of Mathematical Modelling & Computations

مقاله 7، دوره 3، 3 (SUMMER)، فروردین 2013، صفحه 245-252   

نویسندگان

Nouredin Parandin؛ Somayeh Ezadi

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

چکیده

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.
 

کلیدواژه‌ها

Ordinary differential equations؛ MLP Neural network؛ bfgs method