A Review on Burgers' Equations and It's Applications

Authors

  • Nand Kishor Kumar Tri-Chandra Campus, Tribhuvan University, Nepal

Keywords:

Burgers’ equation, fluids dynamics, in-viscid, traffic flow model

Abstract

This article presents a brief study on the review of the Burgers' equation. It also gives some concepts/ideas and techniques to solve Burgers' equation. Applying Burgers' equation to traffic flow requires concentrated effort for the solution. We develop our insights on how to obtain the Navier-Stokes equation through our inquiry into Burgers' equation. We also demonstrate how the Cole-Hopf transformation for the viscous Burgers' equation is derived. Finally, we use Burger's equation function as a model for the flow of traffic. Additionally, by employing the linear system method, we are able to obtain the answer to the one-way traffic flow problem. The Navier-Stokes equation has been derived to get in-viscid Burger's equation. The principle of Traffic flow and Navier-Stokes models have also been derived.

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Published

2023-12-14

How to Cite

A Review on Burgers’ Equations and It’s Applications. (2023). Journal of Institute of Science and Technology, 28(2), 49-52. https://doi.org/10.3126/jist.v28i2.61073

Issue

Vol. 28 No. 2 (2023)

Section

Review Articles

License

Copyright (c) 2023 Institute of Science and Technology, T.U.

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The copyright of the articles is held by the Institute of Science and Technology, Tribhuvan University (IoST- TU). The views and interpretations in this journal are those of the author(s). They are not attributable to the IoST-TU and do not imply the expression of any opinion concerning the legal status of any country, territory, city, area of its authorities, or concerning the delimitation of its frontiers or boundaries. The corresponding author is responsible for any conflict of interest between authors and others.

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How to Cite

A Review on Burgers’ Equations and It’s Applications. (2023). Journal of Institute of Science and Technology, 28(2), 49-52. https://doi.org/10.3126/jist.v28i2.61073