Figure 10.

The PINN-evaluated $u(x,t)$ at different timeslices, $t=0,0.25,0.5,1.0$, from left to right when additive Gaussian errors with σ = 0.5 is introduced on initial time-slice for when additional regularization in terms of Cole-Hopf transformation is added to the loss function. A single domain PINN used for the top row while the middle and bottom rows show result from 2 and 3 domain cPINNs respectively.