Journal of Applied & Computational Mathematics

Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur, Bangladesh

Publications

• Research Article   
  Simulation and Analysis of Diffusion Type Traffic Flow Model Using Linear and Exponential Velocity Density Relationship
  Author(s): Mojammel Haque*, Most Halimatuj Sadia and Laek Sazzad Andallah
  
  In our modern era, traffic congestion in big cities has become threat for our daily life. It is one of the greatest problems in many developed countries of the world like Bangladesh. Various mathematical models have been employed to address the issue of traffic congestion. Traffic flow models assume that density and velocity are related. Bruce Greenshields first introduced traffic density-velocity connection. In this paper, we would like to study with linear velocity density relationship (Greenshields Model) and exponential velocity density relationship (Underwood Model) using the model for the flow of traffic based on diffusion. To make a comparative study between Greenshields and Underwood Models we solve the traffic flow model of the diffusion type as analytically as well as numerically. Due to analytical solution complexity, we use the finite difference method to solve the model n.. Read More»
  DOI: 10.37421/2168-9679.2024.13.579

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