Link to the PDE

[Vikramank]

Hi Nandita,
Thank you very much for a great tutorial on PINN. Could you please add a reference to the PDE that you have used in this tutorial :

du/dx=2du/dt+u
with boundary condition: u(x,0)=6e^(-3x)

[Rosyoutlook]

It can be interpreted as a chemical concentration transport in 1D with convection, and this velocity field has a constant velocity = -1\2. There is a negative source term -1/2u to make the concentration dissipate with time. If we rewrite the PDE as :
du/dt + (-1\2)du/dx= (-1/2)u
you can also check to know the transport equation:
http://www-personal.umd.umich.edu/~remski/java/source/Transport.html