Modify Multistep Difference Transform Method for Solving Jamming Model in 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.