1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
Modeling and Simulation of the spread of coronavirus disease (COVID-19) in Lebanon
Ayman Mourad, Fatima Mroue
In this paper, we develop a probabilistic mathematical model for the spread of coronavirus disease (COVID-19). It takes into account the known special characteristics of this disea…
Towards a Mathematical Model for the Solidification and Rupture of Blood in Stenosed Arteries
Fatima Abbas, Ayman Mourad
In this paper, we present a mathematical and numerical model for blood solidification and its rupture in stenosed arteries. The interaction between the blood flow and an existing s…
Analysis of the interaction between an incompressible fluid and a quasi-incompressible non-linear elastic structure
Fatima Abbas, Ayman Mourad
We are interested in studying an unsteady fluid-structure interaction problem in a three-dimensional space. We consider a homogeneous Newtonian fluid which is modeled by the Navier…
An algorithm for constructing doubly stochastic matrices for the inverse eigenvalue problem
Bassam Mourad, Hassan Abbas, Ayman Mourad +2
In this note, we present an algorithm that yields many new methods for constructing doubly stochastic and symmetric doubly stochastic matrices for the inverse eigenvalue problem. I…