3 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
Direct Problem for Gas Diffusion in Polar Firn with Variable Coefficients
Sophie Moufawad, Nabil Nassif, Faouzi Triki
We consider the mathematical model of gas trapping in deep polar ice (firns), which consists of a parabolic partial differential equation, that can degenerate at one boundary extre…
q-bio.PE2023
Data-Driven Models for studying the Dynamics of the COVID-19 Pandemics
Rawan H. Madi, Sophie M. Moufawad, Nabil R. Nassif
This paper seeks to study the evolution of the COVID-19 pandemic based on daily published data from Worldometer website, using a time-dependent SIR model. Our findings indicate tha…