A Two-Stage Learning PINN Approach for Solving the Inverse Problem of the 1D Porous Medium Equation

Noura Al Helwani, Sophie Moufawad, Nabil Nassif

The Porous Medium Equation (PME), given by $u_t=\Delta (u^m)$ for $m>1$, is a degenerate nonlinear parabolic partial differential equation that arises in various physical application…