Research Article
A Numerical Method for Solving Fractional Differential Equations by Using Neural Network
Table 6
Exact solution, approximate solution, and accuracy for Example
.
| | Numerical solution | Accuracy | | | | | | | |
| 0.1 | 0.01 | 0.001 | 0.0101 | 0.0020 | | | 0.2 | 0.04 | 0.008 | 0.0408 | 0.0104 | | | 0.3 | 0.09 | 0.027 | 0.0926 | 0.0301 | | | 0.4 | 0.16 | 0.064 | 0.1641 | 0.0664 | | | 0.5 | 0.25 | 0.125 | 0.2529 | 0.1233 | | | 0.6 | 0.36 | 0.216 | 0.3584 | 0.2071 | | | 0.7 | 0.49 | 0.343 | 0.4847 | 0.3290 | | | 0.8 | 0.64 | 0.512 | 0.6389 | 0.5033 | | | 0.9 | 0.81 | 0.729 | 0.8215 | 0.7361 | | | 1 | 1 | 1 | 1.0126 | 1.0076 | | |
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