Table 3 Comparison between the PINN and Algorithm 1 for Allen–Cahn equation.
From: Parameter identification for PDEs using sparse interior data and a recurrent neural network
Methodologies | ||
|---|---|---|
Results | Algorithm 1 | PINN |
Relative \(L_{2}\) errors | 4.05e\(-\)3 | 4.89e\(-\)1 |
Estimated diffusion rate error | 2.32e\(-\)1 | 8.34e\(-\)1 |
Estimated reaction coefficient | 3.41e\(-\)3 | 1.42e\(-\)1 |
