Table 2 The training time, measured in minutes, is given for both vanilla PINN and FE-PINN under different ratios and initial weight states.
| Â | Ratio | FE-PINN | Vanilla PINN | ||||
|---|---|---|---|---|---|---|---|
\(\:\lambda\:=1\) | \(\:\lambda\:=1.2\) | \(\:\lambda\:=1.4\) | \(\:\lambda\:=1.6\) | \(\:\lambda\:=1.8\) | |||
Case 1 | 20.72 | 1.2 + 21.5 | Not Converged | Not Converged | Not Converged | Not Converged | Not Converged |
Case 2 | 20.72 | 1.2 + 26.0 | Not Converged | 56.5 | Not Converged | Not Converged | Not Converged |
Case 3 | 20.72 | 1.3 + 24.1 | Not Converged | Not Converged | 54:6 | 57.8 | 53.6 |
Case 1 | 34.76 | 1.0 + 32.4 | Not Converged | 62.5 | 58.2 | 49.8 | Not Converged |
Case 2 | 34.76 | 1.3 + 18.2 | 30.0 | Not Converged | Not Converged | Not Converged | Not Converged |
Case 3 | 34.76 | 1.3 + 28.1 | Not Converged | 44.8 | Not Converged | 38.8 | 38.1 |
Case 1 | 38.28 | 1.1 + 24.0 | 29.1 | 47.8 | Not Converged | Not Converged | 48.3 |
Case 2 | 38.28 | 1.1 + 28.0 | 32.7 | 48.8 | Not Converged | 43.1 | Not Converged |
Case 3 | 38.28 | 1.1 + 17.3 | Not Converged | 52.3 | Not Converged | Not Converged | 47.4 |
Case 1 | 41.7 | 1.2 + 20.4 | Not Converged | 42.4 | 35.6 | Not Converged | 38.4 |
Case 2 | 41.7 | 1.2 + 21.1 | Not Converged | 56.6 | 42.3 | 57.6 | Not Converged |
Case 3 | 41.7 | 1.0 + 23.3 | 31.1 | 51.9 | Not Converged | Not Converged | Not Converged |
Case 1 | 43.81 | 1.3 + 26.5 | Not Converged | Not Converged | 41.7 | 44.9 | Not Converged |
Case 2 | 43.81 | 1.1 + 17.9 | Not Converged | 40.6 | Not Converged | 41.8 | 44.2 |
Case 3 | 43.81 | 1.2 + 22.0 | Not Converged | 51.4 | 37.2 | 47.2 | 39.8 |
Case 1 | 45.23 | 1.1 + 24.0 | Not Converged | Not Converged | Not Converged | Not Converged | Not Converged |
Case 2 | 45.23 | 1.3 + 18.0 | 26.3 | 38.3 | Not Converged | Not Converged | Not Converged |
Case 3 | 45.23 | 1.0 + 22.4 | 32.5 | 48.8 | 40.3 | 43.7 | 43.5 |
