2 papers
math.OC2025
A nonlocal degenerate macroscopic model of traffic dynamics with saturated diffusion: modeling and calibration theory
Dawson Do, Hossein Nick Zinat Matin, Masuma Mollika Miti +1
In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how…
math.NA2023
High-Order Numerical Method for 1D Non-local Diffusive Equation
D. Do, H. Nick Zinat Matin, M. L. Delle Monache
In this paper we present a non-local numerical scheme based on the Local Discontinuous Galerkin method for a non-local diffusive partial differential equation with application to t…