Parameter Identification on Burgers' equation Case 3.3
0MSEJVC-PINNs
Evaluation Results
| Method | Links | ||||
|---|---|---|---|---|---|
| JVC-PINNsParameter=λ1(t), Reference=0.52025.10 | 0 | 0.5013 | 0.257 | 8,197.7 | |
| JVC-PINNsParameter=λ1(t), Reference=0.752025.10 | 0 | 0.7498 | 0.0313 | 8,197.7 | |
| JVC-PINNsParameter=λ1(t), Reference=12025.10 | 0 | 0.9999 | 0.0113 | 8,197.7 | |
| JVC-PINNsParameter=λ2(t), Reference=0.12025.10 | 0 | 0.1 | 0.0041 | 8,197.7 | |
| GWS-PINNsParameter=λ1(t), Reference=0.52025.10 | 0 | 0.4994 | 0.1297 | 8,076.4 | |
| GWS-PINNsParameter=λ1(t), Reference=0.752025.10 | 0 | 0.7512 | 0.1634 | 8,076.4 | |
| GWS-PINNsParameter=λ1(t), Reference=12025.10 | 0 | 1.001 | 0.0962 | 8,076.4 | |
| GWS-PINNsParameter=λ2(t), Reference=0.12025.10 | 0 | 0.1 | 0.015 | 8,076.4 | |
| VC-PINNsParameter=λ1(t), Reference=0.52025.10 | 0 | 0.4804 | 3.9147 | 8,012.7 | |
| VC-PINNsParameter=λ1(t), Reference=0.752025.10 | 0 | 0.7378 | 1.6251 | 8,012.7 | |
| VC-PINNsParameter=λ1(t), Reference=12025.10 | 0 | 1.0252 | 2.5184 | 8,012.7 | |
| VC-PINNsParameter=λ2(t), Reference=0.12025.10 | 0 | 0.0998 | 0.2035 | 8,012.7 | |
| BC-PINNsParameter=λ1(t), Reference=0.52025.10 | 0 | 0.477 | 4.5963 | 8,278.5 | |
| BC-PINNsParameter=λ1(t), Reference=0.752025.10 | 0 | 0.6825 | 8.9944 | 8,278.5 | |
| BC-PINNsParameter=λ1(t), Reference=12025.10 | 0 | 0.9895 | 1.0474 | 8,278.5 | |
| BC-PINNsParameter=λ2(t), Reference=0.12025.10 | 0 | 0.1004 | 0.3825 | 8,278.5 | |
| DSBLParameter=λ1(t), Reference=0.52025.10 | 0 | 0.4812 | 3.7561 | 5,726.6 | |
| DSBLParameter=λ1(t), Reference=0.752025.10 | 0 | 0.8105 | 8.0635 | 5,726.6 | |
| DSBLParameter=λ1(t), Reference=12025.10 | 0 | 1.0143 | 1.4286 | 5,726.6 | |
| DSBLParameter=λ2(t), Reference=0.12025.10 | 0 | 0.1019 | 1.9235 | 5,726.6 | |
| CP-PINNsParameter=λ1(t), Reference=0.52025.10 | 0 | 0.6574 | 31.4877 | 7,714.7 | |
| CP-PINNsParameter=λ1(t), Reference=0.752025.10 | 0 | 0.7477 | 0.3084 | 7,714.7 | |
| CP-PINNsParameter=λ1(t), Reference=12025.10 | 0 | 0.8184 | 18.1609 | 7,714.7 | |
| CP-PINNsParameter=λ2(t), Reference=0.12025.10 | 0 | 0.1142 | 14.1632 | 7,714.7 | |
| SBLParameter=λ1(t), Reference=0.52025.10 | 0.0002 | 0.8007 | 60.1447 | 2,880.7 | |
| SBLParameter=λ1(t), Reference=0.752025.10 | 0.0002 | 0.8007 | 6.7632 | 2,880.7 | |
| SBLParameter=λ1(t), Reference=12025.10 | 0.0002 | 0.8007 | 19.9276 | 2,880.7 | |
| SBLParameter=λ2(t), Reference=0.12025.10 | 0.0002 | 0.1023 | 2.2785 | 2,880.7 | |
| STD-PINNsParameter=λ1(t), Reference=0.52025.10 | 0.0003 | 0.8488 | 69.7526 | 7,432.4 | |
| STD-PINNsParameter=λ1(t), Reference=0.752025.10 | 0.0003 | 0.8488 | 13.1684 | 7,432.4 | |
| STD-PINNsParameter=λ1(t), Reference=12025.10 | 0.0003 | 0.8488 | 15.1237 | 7,432.4 | |
| STD-PINNsParameter=λ2(t), Reference=0.12025.10 | 0.0003 | 0.0933 | 6.6713 | 7,432.4 |