APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS
الموضوعات : فصلنامه ریاضی
Nouredin Parandin
1
(
http://iauksh.ac.ir
Islamic Azad University
Iran, Islamic Republic of
Department of mathematics.
)
Somayeh Ezadi
2
(
)
الکلمات المفتاحية: Ordinary differential equations, MLP Neural network, bfgs method,
ملخص المقالة :
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.
