Title of article :
ON APPROXIMATE METHODS FOR FRACTAL VEHICULAR TRAFFIC FLOW
Author/Authors :
JASSIM, H. K Department of Mathematics - Faculty of Education for Pure Sciences - University of Thi-Qar, Iraq
Abstract :
In this paper, we find 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 find 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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics