An Efficient Computational Technique for Fractal Vehicular Traffic Flow

被引:67
|
作者
Kumar, Devendra [1 ]
Tchier, Fairouz [2 ]
Singh, Jagdev [1 ]
Baleanu, Dumitru [3 ,4 ]
机构
[1] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
[2] King Saud Univ, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] Inst Space Sci, Magurele 077125, Romania
关键词
fractal vehicular traffic flow; local fractional Sumudu transform; homotopy perturbation technique; reduced differential transform method; local fractional derivative; HOMOTOPY PERTURBATION METHOD; EQUATION; TRANSFORM; ALGORITHM; DYNAMICS; WAVES; BEAMS;
D O I
10.3390/e20040259
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页数:9
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