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
相关论文
共 50 条
  • [1] Computational Analysis of Local Fractional LWR Model Occurring in a Fractal Vehicular Traffic Flow
    Dubey, Ved Prakash
    Kumar, Devendra
    Alshehri, Hashim M.
    Dubey, Sarvesh
    Singh, Jagdev
    FRACTAL AND FRACTIONAL, 2022, 6 (08)
  • [2] Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws
    Wang, Long-Fei
    Yang, Xiao-Jun
    Baleanu, Dumitru
    Cattani, Carlo
    Zhao, Yang
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] An efficient computational technique for local fractional heat conduction equations in fractal media
    Zhao, Duan
    Singh, Jagdev
    Kumar, Devendra
    Rathore, Sushila
    Yang, Xiao-Jun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1478 - 1486
  • [4] A NOVEL MODEL FOR INTERSECTIONS OF VEHICULAR TRAFFIC FLOW
    Herty, M.
    Lebacque, J. -P.
    Moutari, S.
    NETWORKS AND HETEROGENEOUS MEDIA, 2009, 4 (04) : 813 - 826
  • [5] VEHICULAR TRAFFIC FLOW DYNAMICS ON A BUS ROUTE
    Gasser, Ingenuin
    Lattanzio, Corrado
    Maurizi, Amelio
    MULTISCALE MODELING & SIMULATION, 2013, 11 (03) : 925 - 942
  • [6] Analytical solution of local fractal continuum traffic flow model
    Pokhriyal, Bhawna
    Goswami, Pranay
    Kumar, Kranti
    PHYSICA SCRIPTA, 2023, 98 (12)
  • [7] Analytical method to solve the local fractional vehicular traffic flow model
    Singh, Nisha
    Kumar, Kranti
    Goswami, Pranay
    Jafari, Hossein
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3983 - 4001
  • [8] Vehicular traffic flow at a non-signalized intersection
    Foulaadvand, M. Ebrahim
    Belbasi, Somayyeh
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (29) : 8289 - 8297
  • [9] Vehicular Traffic Flow at a Non-Signalised Intersection
    Fouladvand, M. Ebrahim
    Belbasi, Somayyeh
    TRAFFIC AND GRANULAR FLOW '07, 2009, : 287 - 292
  • [10] Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow
    Dubey, Sarvesh
    Dubey, Ved Prakash
    Singh, Jagdev
    Alshehri, Ahmed M.
    Kumar, Devendra
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2022, 17 (08):