Figure 3.

The PINN-evaluated solution for $u(x,t)$ from the Burgers’ equation at different timeslices, $t=\mathrm{0,0.25,0.50,1.00}$, from left to right for error-free boundary data (top) and corrupted boundary data with (bottom). The additive errors on the boundary data are taken from independently samples of zero mean Gaussian distribution with $\sigma =0.5$. The points marked with the blue cross (x) pointer in the leftmost set of plots indicate the samples on the initial timeslice used to train the PINN.