A comparison between Cole-Hopf Tranformation and Homotopy Perturbation Method for Viscous Burger Equation in Traffic Flow

N. Binatari

doi:10.1088/1742-6596/1320/1/012030

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A comparison between Cole-Hopf Tranformation and Homotopy Perturbation Method for Viscous Burger Equation in Traffic Flow

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N. Binatari

2019 Journal of Physics: Conference Series Vol. 1320 Issue 1 Conference paper Cited by 1 SDG 11SDG 16

Abstract

This paper presents the comparison of Cole-Hopf transformation and Homotopy Perturbation Method for solving viscous Burgers Equation in traffic flow problems. A problem is presented to demonstrate the differences. The result shows that even though Cole-Hopf transformation brings exact solution for all cases, the formula is in complicated form. Compared to this, Homotopy Perturbation Method is more effective to solve burger equation with boundary condition in traffic flow problems. © 2019 IOP Publishing Ltd. All rights reserved.

Affiliations

Department of Mathematics Education, Faculty of Mathematics and Natural Science, Universitas Negeri Yogyakarta, Jl Colombo No.1, Depok Karangmalang Sleman Yogyakarta, Indonesia

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