A Numerical Method for Solving Fractional Differential Equations by Using Neural Network
We present a new method for solving the fractional differential equations of initial value problems by using neural networks which are constructed from cosine basis functions with adjustable parameters. By training the neural networks repeatedly the numerical solutions for the fractional differentia...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/439526 |
| Summary: | We present a new method for solving the fractional differential equations
of initial value problems by using neural networks which are constructed from
cosine basis functions with adjustable parameters. By training the neural networks
repeatedly the numerical solutions for the fractional differential equations were
obtained. Moreover, the technique is still applicable for the coupled differential equations
of fractional order. The computer graphics and numerical solutions show
that the proposed method is very effective. |
|---|---|
| ISSN: | 1687-9120 1687-9139 |