Table 7 Comparison between the PINN and Algorithm 1 for 2D heat equation.
From: Parameter identification for PDEs using sparse interior data and a recurrent neural network
Methodologies | ||
---|---|---|
Results | Algorithm 1 | PINN |
\(\text{Relative}\, L_{2}\) errors | 3.23e\(-\)3 | 2.81e\(-\)1 |
Estimated Diffusion Rate | 2.12e\(-\)3 | 3.12e\(-\)2 |