2 papers
math.OC2026
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 for , is a degenerate nonlinear parabolic partial differential equation that arises in various physical application…
math.NA2026
Solving Inverse PDE Problems using Minimization Methods and AI
Noura Al Helwani, Sophie Moufawad, Georges Sakr
Many physical and engineering systems require solving direct problems to predict behavior and inverse problems to determine unknown parameters from measurement. In this work, we st…