Modify Multistep Difference Transform Method for Solving Jamming Model in Lorentz System

DOI

10.2991/assehr.k.210305.048How to use a DOI?

Keywords

Modify, Multistep, Difference Transform Method, Jamming Models, Lorentz System

Abstract

The Lorentz system is one of the model which can be applied to single line traffic model. This model was based on the distance deviation, velocity deviation, and time acceleration. In this paper, we would like to solve the mathematical model of traffic congestion with the Lorentz system. Modify Multistep Difference Transform Method (MMDTM) is used to solve the model. Modification on initial value and several steps time interval is applied in some traffic congestion parameters. Convergence solutions was analysed and compared with the results when using the Runge Kutta method. The results show that both of the Modify Multi step DTM and Runge Kutta solutions are similar.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hartono
AU  - Agus M. Abadi
AU  - Fitriana Y. Saptaningtyas
PY  - 2021
DA  - 2021/03/08
TI  - Modify Multistep Difference Transform Method for Solving Jamming Model in Lorentz System
BT  - Proceedings of the 7th International Conference on Research, Implementation, and Education of Mathematics and Sciences (ICRIEMS 2020)
PB  - Atlantis Press
SP  - 334
EP  - 337
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210305.048
DO  - 10.2991/assehr.k.210305.048
ID  - 2021
ER  -