PDE Solving on 2D Allen-Cahn equation a=15
0Relative L2 ErrorTGPS-PF
Evaluation Results
| Method | Links | |
|---|---|---|
| TGPS-PFNumber of collocation points=8100, Collocation grid resolution=90x902025.10 | 0 | |
| TGPS-PFResolution=90 × 902025.10 | 0 | |
| TGPS-NTNumber of collocation points=8100, Collocation grid resolution=90x902025.10 | 0 | |
| TGPS-NTResolution=90 × 902025.10 | 0 | |
| TGPS-PFNumber of collocation points=40000, Collocation grid resolution=200x2002025.10 | 0 | |
| TGPS-PFResolution=200 × 2002025.10 | 0 | |
| TGPS-NTNumber of collocation points=22500, Collocation grid resolution=150x1502025.10 | 0 | |
| TGPS-NTResolution=150 × 1502025.10 | 0 | |
| TGPS-NTNumber of collocation points=40000, Collocation grid resolution=200x2002025.10 | 0 | |
| TGPS-NTResolution=200 × 2002025.10 | 0 | |
| TGPS-NTNumber of collocation points=6400, Collocation grid resolution=80x802025.10 | 0 | |
| TGPS-NTResolution=80 × 802025.10 | 0 | |
| TGPS-PFNumber of collocation points=22500, Collocation grid resolution=150x1502025.10 | 0 | |
| TGPS-PFResolution=150 × 1502025.10 | 0 | |
| TGPS-PFNumber of collocation points=6400, Collocation grid resolution=80x802025.10 | 0 | |
| TGPS-PFResolution=80 × 802025.10 | 0 | |
| SKSNumber of collocation points=22500, Collocation grid resolution=150x1502025.10 | 0 | |
| SKSNumber of collocation points=40000, Collocation grid resolution=200x2002025.10 | 0 | |
| SKSNumber of collocation points=8100, Collocation grid resolution=90x902025.10 | 0 | |
| SKSNumber of collocation points=6400, Collocation grid resolution=80x802025.10 | 0.0001 | |
| FEMResolution=200 × 2002025.10 | 0.0054 | |
| FEMResolution=150 × 1502025.10 | 0.0097 | |
| FDResolution=200 × 2002025.10 | 0.0184 | |
| FEMResolution=90 × 902025.10 | 0.0262 | |
| FDResolution=150 × 1502025.10 | 0.033 | |
| FEMResolution=80 × 802025.10 | 0.0332 | |
| FDResolution=90 × 902025.10 | 0.0945 | |
| FDResolution=80 × 802025.10 | 0.121 | |
| PINNNumber of collocation points=22500, Collocation grid resolution=150x1502025.10 | 5.95 | |
| PINNNumber of collocation points=6400, Collocation grid resolution=80x802025.10 | 7.11 | |
| PINNNumber of collocation points=8100, Collocation grid resolution=90x902025.10 | 7.5 | |
| PINNNumber of collocation points=40000, Collocation grid resolution=200x2002025.10 | 8.29 |