Research Article
A Numerical Method for Solving Fractional Differential Equations by Using Neural Network
Table 7
Exact solution, approximate solution, and accuracy for Example
.
| | Numerical solution | Accuracy | | | | | | | |
| 0.1 | 0.9950 | 0.001 | 0.9926 | 0.0042 | | | 0.2 | 0.9800 | 0.008 | 0.9834 | 0.0148 | | | 0.3 | 0.9553 | 0.027 | 0.9625 | 0.0351 | | | 0.4 | 0.9210 | 0.064 | 0.9267 | 0.0689 | | | 0.5 | 0.8775 | 0.125 | 0.8773 | 0.1220 | | | 0.6 | 0.8253 | 0.216 | 0.8198 | 0.2040 | | | 0.7 | 0.7648 | 0.343 | 0.7604 | 0.3276 | | | 0.8 | 0.6967 | 0.512 | 0.7004 | 0.5049 | | | 0.9 | 0.6216 | 0.729 | 0.6336 | 0.7375 | | | 1 | 0.5403 | 1 | 0.5475 | 1.0056 | | |
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