4.6 Article

An Efficient Computational Technique for Fractal Vehicular Traffic Flow

Journal

ENTROPY
Volume 20, Issue 4, Pages -

Publisher

MDPI
DOI: 10.3390/e20040259

Keywords

fractal vehicular traffic flow; local fractional Sumudu transform; homotopy perturbation technique; reduced differential transform method; local fractional derivative

Funding

  1. Research Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University

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In this work, we examine a fractal vehicular traffic flow problem. The partial differential equations describing a fractal vehicular traffic flow are solved with the aid of the local fractional homotopy perturbation Sumudu transform scheme and the local fractional reduced differential transform method. Some illustrative examples are taken to describe the success of the suggested techniques. The results derived with the aid of the suggested schemes reveal that the present schemes are very efficient for obtaining the non-differentiable solution to fractal vehicular traffic flow problem.

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