Browsing School of Pure and Applied Sciences by Subject "Godunov scheme"
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Comparison of Godunov’s and Relaxation Schemes Approximation of Solutions to the Euler Equations
(Journal of Applied Mathematics and Bioinformatics, 2015)In this paper we deal with the study of Euler equations for isothermal gas that is governed by two hyperbolic equations. By analysing the equations we obtain two real and distinct eigenvalues which enables ... -
Comparison of Godunov’s and Relaxation Schemes Approximation of Solutions to the Traffic Flow Equations
(International Journal of Scientific and Innovative Mathematical Research, 2014)In this paper we deal with the study of the traffic flow model that is governed by two hyperbolic equations. By analysing the equations we obtain two real and distinct eigen values which enables us to determine the wave ... -
Modeling Traffic Flow on Multi-Lane Road: Effects ofLane-Change Manoeuvres Due to an On-ramp
(Global Journal of Pure and Applied Mathematics, 2018)Traffic breakdown is the main cause of vehicle traffic congestion in our multi-lane roads due to highway bottlenecks such as lane-drops, on and off-ramps. In this study the three phase traffic flow theory is outlined and ...