@article{Kabir_Andallah_2014, title={Numerical Solution of a Multilane Traffic Flow Model}, volume={33}, url={https://www.banglajol.info/index.php/GANIT/article/view/17653}, DOI={10.3329/ganit.v33i0.17653}, abstractNote={<p>This paper performs the numerical solution of a macroscopic multilane traffic flow model based on a linear density-velocity relationship. A multilane traffic flow is modeled by a system of nonlinear partial differential equation appended with initial and boundary conditions reads as an initial boundary value problem (IBVP). We present numerical simulation of the IBVP by a finite difference scheme named Lax-Friedrichs scheme and report on the stability and efficiency of the scheme by performing numerical experiments. The computed result satisfies some well known qualitative features of the solution.</p> <p><strong>GANIT </strong><em>J. Bangladesh Math. Soc.</em> Vol. 33 (2013) 25-32</p> <p>DOI: <a href="http://dx.doi.org/10.3329/ganit.v33i0.17653">http://dx.doi.org/10.3329/ganit.v33i0.17653</a></p>}, journal={GANIT: Journal of Bangladesh Mathematical Society}, author={Kabir, MH and Andallah, LS}, year={2014}, month={Jan.}, pages={25–32} }