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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…