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math.AP2024
An areal continuum model for mixed traffic
Nandan Maiti, Bhargava Rama Chilukuri
A novel continuum model has been developed to address the vehicle size heterogeneity in mixed traffic. By incorporating the principle of vehicle area conservation, a new set of tra…
math.AP2024
An Extended AW-Rascle Model with Source Terms and Its Numerical Solution
Nandan Maiti, Bhargava Rama Chilukuri
Nonlinear hyperbolic partial differential equations govern continuum traffic flow models. Higher-order traffic flow models consisting of continuum equations and velocity dynamics w…