3 papers
math.AP2026
Derivation, Analysis and Simulation of a Spatio-Temporal Epidemiology Model with Memory
Hassan El Bouz, Karim Faraj, Anthony Khairallah +1
In this paper, we propose an integro-differential model for the spatio-temporal evolution of infectious diseases with asymptomatic transmission. The model consists of a reaction-di…
math.NA2026
A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations
Ayman Mourad, Fatima Mroue
The rise of Physics-Informed Neural Networks (PINNs) has popularized the concept of solving differential equations via residual minimization. However, neural networks are often vie…
math.AP2024
Stochastic electromechanical bidomain model
Mostafa Bendahmane, Kenneth H. Karlsen, Fatima Mroue
We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect…