Research Article
A Numerical Method for Solving Fractional Differential Equations by Using Neural Network
Table 4
Exact solution, approximate solution, and accuracy for Example
.
| | Numerical solution | Accuracy | | | | | | | | |
| 0.1 | 0.0031 | 0.0022 | 0.0055 | 0.0066 | | | | 0.2 | 0.0178 | 0.0133 | 0.0234 | 0.0266 | | | | 0.3 | 0.0492 | 0.0426 | 0.0566 | 0.0603 | | | | 0.4 | 0.1011 | 0.0972 | 0.1075 | 0.1093 | | | | 0.5 | 0.1767 | 0.1773 | 0.1783 | 0.1772 | | | | 0.6 | 0.2788 | 0.2797 | 0.2733 | 0.2711 | | | | 0.7 | 0.4099 | 0.4055 | 0.4010 | 0.4009 | | | | 0.8 | 0.5724 | 0.5643 | 0.5712 | 0.5738 | | | | 0.9 | 0.7684 | 0.7670 | 0.7832 | 0.7847 | | | | 1 | 1 | 1.0064 | 1.0105 | 1.0056 | | | |
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