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. 2023 Feb 6;4(1):015013. doi: 10.1088/2632-2153/acb416

Figure 10.

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.