Forward PDE Solving on 1D Burgers' equation standard synthetic (test)
0.0026Relative L2 ErrorSpatio-Temporal MeanFlow
Evaluation Results
| Method | Links | |||
|---|---|---|---|---|
| Spatio-Temporal MeanFlowSolver Category=Generative2026.05 | 0.0026 | 0.239 | 0.0118 | |
| CFOSolver Category=Neural operators2026.05 | 0.008 | 0.033 | 0.0007 | |
| FNOSolver Category=Neural operators2026.05 | 0.0105 | 0.213 | 0.0012 | |
| SEA-PINNNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.06 | 0.0127 | — | — | |
| FNN-PINNNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.06 | 0.0133 | — | — | |
| PINOSolver Category=Neural operators2026.05 | 0.0206 | 0.263 | 0.2742 | |
| RectFlowSolver Category=Generative2026.05 | 0.0276 | 8.753 | 155.337 | |
| PBFMSolver Category=Generative2026.05 | 0.0311 | 2.263 | 12.9219 | |
| LAAFNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.06 | 0.0352 | — | — | |
| PINNSolver Category=Coord-based2026.05 | 0.0356 | 0.032 | 0.0715 | |
| DeepONetSolver Category=Neural operators2026.05 | 0.0559 | 0.12 | 0.0004 | |
| DiffPDESolver Category=Generative2026.05 | 0.0861 | 23.487 | 662.699 | |
| I-PINNSolver Category=Coord-based2026.05 | 0.0892 | 0.161 | 0.0764 | |
| GAAFNumber of Layers=5, Neurons per Layer=100, Activation Function=tanh, Initialization=Xavier-normal, Collocation Points=standard2026.06 | 0.6539 | — | — |