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Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly

Burger's equation is a nonlinear partial differential equation occurring in various areas of applied mathematics, one of that is traffic flow. Burger's equation is the simplest equation combining both nonlinear propagation effects (uux) and diffusive effects (uxx). We interest to find the...

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Main Authors: Zulkifli, Shahirah, Zainuddin, Nur Ilham, Md Rosly, Siti Nurlina Syamimi
Format: Student Project
Language:English
Published: 2016
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/109226/1/109226.pdf
https://ir.uitm.edu.my/id/eprint/109226/
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spelling my.uitm.ir.1092262025-02-03T16:32:56Z https://ir.uitm.edu.my/id/eprint/109226/ Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly Zulkifli, Shahirah Zainuddin, Nur Ilham Md Rosly, Siti Nurlina Syamimi Study and teaching Equations Analysis Burger's equation is a nonlinear partial differential equation occurring in various areas of applied mathematics, one of that is traffic flow. Burger's equation is the simplest equation combining both nonlinear propagation effects (uux) and diffusive effects (uxx). We interest to find the solution of inviscid and show the derivation of viscid by using Cole-Hopf transformation. In order to apply Burger's equation in traffic flow, effort will concentrate to obtain the solution. Throughout research for Burger's equation, we find the way to derive Navier-Stokes equation, to derive inviscid Burger's equation. We also show the derivation of Cole-Hopf transformation for viscid Burger's equation. Lastly, we apply any function of inviscid Burger's equation as a model traffic Flow. Beside that, we also get the solution of one-way traffic flow by using the method of linear system. 2016 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/109226/1/109226.pdf Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly. (2016) [Student Project] <http://terminalib.uitm.edu.my/109226.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Zulkifli, Shahirah
Zainuddin, Nur Ilham
Md Rosly, Siti Nurlina Syamimi
Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
description Burger's equation is a nonlinear partial differential equation occurring in various areas of applied mathematics, one of that is traffic flow. Burger's equation is the simplest equation combining both nonlinear propagation effects (uux) and diffusive effects (uxx). We interest to find the solution of inviscid and show the derivation of viscid by using Cole-Hopf transformation. In order to apply Burger's equation in traffic flow, effort will concentrate to obtain the solution. Throughout research for Burger's equation, we find the way to derive Navier-Stokes equation, to derive inviscid Burger's equation. We also show the derivation of Cole-Hopf transformation for viscid Burger's equation. Lastly, we apply any function of inviscid Burger's equation as a model traffic Flow. Beside that, we also get the solution of one-way traffic flow by using the method of linear system.
format Student Project
author Zulkifli, Shahirah
Zainuddin, Nur Ilham
Md Rosly, Siti Nurlina Syamimi
author_facet Zulkifli, Shahirah
Zainuddin, Nur Ilham
Md Rosly, Siti Nurlina Syamimi
author_sort Zulkifli, Shahirah
title Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
title_short Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
title_full Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
title_fullStr Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
title_full_unstemmed Technical report: mathematical modelling of Burger's equation applied in traffic flow / Shahirah Zulkifli, Nur Ilham Zainuddin and Siti Nurlina Syamimi Md Rosly
title_sort technical report: mathematical modelling of burger's equation applied in traffic flow / shahirah zulkifli, nur ilham zainuddin and siti nurlina syamimi md rosly
publishDate 2016
url https://ir.uitm.edu.my/id/eprint/109226/1/109226.pdf
https://ir.uitm.edu.my/id/eprint/109226/
_version_ 1823097885847191552
score 13.239859

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