df438e5206f31600e6ae4af72f2725f1-Supplemental.pdf

ThePINNhasdifficulty predicting any part of the solution (and can't even predict the first few timesteps), and only predicts a homogeneoussolutioneverywhere. We consider an example of a one-dimensional reaction equation, which iscommonly used tomodel chemical reactions. Heatmap of the exact solutions to the 1D reaction-diffusion equation, Eq. 10, for differentν values and the respective physics-informed NN predicted solution.