A Review on Burgers' Equations and It's Applications

Authors

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

DOI:

https://doi.org/10.3126/jist.v28i2.61073

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

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

Issue

Section

Review Articles