DOI: 10.36347/sjpms.2022.v09i01.003

Pages: 11-20

A conservative and non-conservative form of a macroscopic traffic flow model which are non-linear first order partial differential equation appended with initial and boundary condition that formulates an initial boundary value problem (IBVP). In analytical methods traffic flow model is too complex to be solved and due to the complexity of findings the analytical solution we investigate numerical solution by finite difference method. For numerical solution we present finite difference scheme namely as explicit upwind difference scheme for conservative and non-conservative form of a single lane traffic flow model and performs a comparative study for these numerical scheme to understand the computational complexity and efficiency of the schemes.