ON APPROXIMATE METHODS FOR FRACTAL VEHICULAR TRAFFIC FLOW

H. K. JASSIM

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Abstract

In this paper, we find the approximate solutions for partial differential equations arising in fractal vehicular traffic flow by using the local fractional Laplace decomposition method (LFLDM) and local fractional series expansion method (LFSEM). These methods provide us with a convenient way to find the approximate solution with less computation as compared with local fractional variational iteration method. The results obtained by the proposed methods (LFLDM) and (LFSEM) are compared with the results obtained by (LFLVIM). Some examples are presented to illustrate the efficiency and accuracy of the proposed methods.

Keywords

Lighthill-Whitham-Richards model, local fractional Laplace decomposition method, local fractional series expansion method, fractal vehicular traffic flow.