# International Journal of Science and Research (IJSR)Since Year 2012 | Open Access | Double Blind Reviewed

Research Paper | Mathematics | Kenya | Volume 7 Issue 6, June 2018

## Analysis of the Second Order Flow Equations Using Traffic Flow in Kisii Town

Nyang'acha Justus Kaisa | Abel Kurura Tinega [2]

Abstract: The analysis of second order traffic flow equations using Kisii towns traffic flow situations is crucial as the number of vehicles increases. The increase of traffic poses challenges ranging from but not limited to head to back collisions, lane change difficulties, congestion and pedestrian related accidents. Theres no set safe inter-vehicle separation distance between traffic in motion, traffic at rest and traffic in a jam in Kisii town motorways. As a result the above stated hindrances are eminent. The study is seeking to determine the magnitudes of Kisii towns traffic flow variables which are limited to traffic flow rate, traffic density and traffic velocity, analyze the traffic flow equations using the different values of the variables. Besides, inter-vehicle spacing traffic flow equation is to be modeled using the Finite Difference Method. Analysis of the empirical data of traffic flow variables of Kisii town is done using MATLAB. The processed information is very useful to civil, mechanical engineers, town planners, computer programmers and upcoming Mathematicians.

Keywords: Traffic flow, Macroscopic and Microscopic Modeling approaches and Finite difference method

Edition: Volume 7 Issue 6, June 2018,

Pages: 1480 - 1486

Nyang'acha Justus Kaisa, Abel Kurura Tinega, "Analysis of the Second Order Flow Equations Using Traffic Flow in Kisii Town", International Journal of Science and Research (IJSR), Volume 7 Issue 6, June 2018, pp. 1480-1486, https://www.ijsr.net/get_abstract.php?paper_id=ART20183468

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