Table 7 The comparison of PINNs results with the exact solution for different values of time variable t to Example 4.1
t | \(\text{ L}_{2}\) | \(\text{ L}_{\infty }\) | RMSE |
|---|---|---|---|
0.0 | \(6.114\times 10^{-7}\) | \(1.526\times 10^{-6}\) | \(5.976\times 10^{-7}\) |
1.5 | \(7.334\times 10^{-7}\) | \(1.800\times 10^{-6}\) | \(7.134\times 10^{-7}\) |
2.5 | \(8.764\times 10^{-7}\) | \(2.107\times 10^{-6}\) | \(8.476\times 10^{-7}\) |
3.5 | \(1.033\times 10^{-6}\) | \(2.429\times 10^{-6}\) | \(9.931\times 10^{-7}\) |
4.5 | \(1.223\times 10^{-6}\) | \(2.793\times 10^{-6}\) | \(1.165\times 10^{-6}\) |
5.0 | \(1.328\times 10^{-6}\) | \(2.982\times 10^{-6}\) | \(1.259\times 10^{-6}\) |