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