메뉴 건너뛰기




Volumn 20, Issue 1, 2012, Pages 87-100

Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow

Author keywords

Differential transformation method (DTM); Jamming transition problem (JTP); Lorentz system; Nonlinear oscillation; Traffic congestion flow

Indexed keywords


EID: 84856430706     PISSN: 1435246X     EISSN: 16139178     Source Type: Journal    
DOI: 10.1007/s10100-010-0154-7     Document Type: Article
Times cited : (24)

References (31)
  • 2
    • 77954596517 scopus 로고    scopus 로고
    • Analysis of velocity equation of steady flow of a viscous Incompressible fluid in channel with porous walls
    • doi: 10. 1002/fld. 2114
    • Babaelahi M, Ganji DD, Joneidi AA (2010) Analysis of velocity equation of steady flow of a viscous Incompressible fluid in channel with porous walls. Int J Numer Meth Fluids. doi: 10. 1002/fld. 2114.
    • (2010) Int J Numer Meth Fluids
    • Babaelahi, M.1    Ganji, D.D.2    Joneidi, A.A.3
  • 4
    • 52949132624 scopus 로고    scopus 로고
    • Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
    • Barari A, Omidvar M, Ghotbi Abdoul R, Ganji DD (2008) Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations. Acta Appl Math 104(2): 161-171.
    • (2008) Acta Appl Math , vol.104 , Issue.2 , pp. 161-171
    • Barari, A.1    Omidvar, M.2    Ghotbi Abdoul, R.3    Ganji, D.D.4
  • 5
    • 0001405969 scopus 로고    scopus 로고
    • Statistical physics of vehicular traffic and some related systems
    • Chowdhury D, Santen L, Schadscheider A (2000) Statistical physics of vehicular traffic and some related systems. Phys Rep 329: 199.
    • (2000) Phys Rep , vol.329 , pp. 199
    • Chowdhury, D.1    Santen, L.2    Schadscheider, A.3
  • 6
    • 57649083121 scopus 로고    scopus 로고
    • Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method
    • Ganji ZZ, Ganji DD, Bararnia H (2009) Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method. Appl Math Model 33: 1836.
    • (2009) Appl Math Model , vol.33 , pp. 1836
    • Ganji, Z.Z.1    Ganji, D.D.2    Bararnia, H.3
  • 7
    • 65349147580 scopus 로고    scopus 로고
    • Applications of he's homotopy perturbation method to obtain second-order approximations of the coupled two-degree-of-freedom systems
    • Ganji SS, Ganji DD, Karimpour S, Babazadeh H (2009) Applications of he's homotopy perturbation method to obtain second-order approximations of the coupled two-degree-of-freedom systems. Int J Non-Linear Sci Numer Simul 10: 303.
    • (2009) Int J Non-Linear Sci Numer Simul , vol.10 , pp. 303
    • Ganji, S.S.1    Ganji, D.D.2    Karimpour, S.3    Babazadeh, H.4
  • 8
    • 0035498174 scopus 로고    scopus 로고
    • The ergodic theory of traffic jams
    • Gray L, Griffeath D (2001) The ergodic theory of traffic jams. J Stat Phys 105: 413.
    • (2001) J Stat Phys , vol.105 , pp. 413
    • Gray, L.1    Griffeath, D.2
  • 9
    • 77950918087 scopus 로고    scopus 로고
    • Solution of strongly nonlinear oscillation systems using variational approach
    • Hashemi Kachapi SHA, Barari A, Tolou N, Ganji DD (2009) Solution of strongly nonlinear oscillation systems using variational approach. J Appld Funct Anal 4(3): 528-535.
    • (2009) J Appld Funct Anal , vol.4 , Issue.3 , pp. 528-535
    • Hashemi Kachapi, S.H.A.1    Barari, A.2    Tolou, N.3    Ganji, D.D.4
  • 10
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solutions for nonlinear evolution equations using Exp-Function
    • He JH, Abdou MA (2007) New periodic solutions for nonlinear evolution equations using Exp-Function. Chaos Solitons Fractals 34: 1421.
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 1421
    • He, J.H.1    Abdou, M.A.2
  • 11
    • 3643096762 scopus 로고    scopus 로고
    • Gas-kinetic derivation of Navier-Stokes-like traffic equations
    • Helbing D (1996) Gas-kinetic derivation of Navier-Stokes-like traffic equations. Phys Rev E 53: 2366.
    • (1996) Phys Rev E , vol.53 , pp. 2366
    • Helbing, D.1
  • 12
    • 67649095208 scopus 로고    scopus 로고
    • Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity
    • Joneidi AA, Ganji DD, Babaelahi M (2009) Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity. Int Commun Heat Mass Transf 36: 757.
    • (2009) Int Commun Heat Mass Transf , vol.36 , pp. 757
    • Joneidi, A.A.1    Ganji, D.D.2    Babaelahi, M.3
  • 13
    • 11744273781 scopus 로고
    • Deterministic spontaneous appearance of traffic jams in slightly inhomogeneous traffic flow
    • Kerner BS, Konhauser P, Schilke M (1995) Deterministic spontaneous appearance of traffic jams in slightly inhomogeneous traffic flow. Phys Rev E 51: 6243.
    • (1995) Phys Rev E , vol.51 , pp. 6243
    • Kerner, B.S.1    Konhauser, P.2    Schilke, M.3
  • 14
    • 80051498326 scopus 로고    scopus 로고
    • Jamming transition with fluctuations of characteristics acceleration/breaking time within Lorentz model
    • Khomenko AV, Kharchenko D, Yushchenko O (2004) Jamming transition with fluctuations of characteristics acceleration/breaking time within Lorentz model. Bull Lviv Univ 37: 44.
    • (2004) Bull Lviv Univ , vol.37 , pp. 44
    • Khomenko, A.V.1    Kharchenko, D.2    Yushchenko, O.3
  • 16
    • 70350573443 scopus 로고    scopus 로고
    • The steady temperature distributions with different types of nonlinearities
    • Konuralp A (2009) The steady temperature distributions with different types of nonlinearities. Comput Math Appl 58: 2152.
    • (2009) Comput Math Appl , vol.58 , pp. 2152
    • Konuralp, A.1
  • 17
    • 0002261017 scopus 로고    scopus 로고
    • Application of differential transformation to eigenvalue problems
    • Kuang C, Shing-Huei H (1996) Application of differential transformation to eigenvalue problems. Appl Math Comput 79: 173.
    • (1996) Appl Math Comput , vol.79 , pp. 173
    • Kuang, C.1    Shing-Huei, H.2
  • 18
    • 0000442330 scopus 로고    scopus 로고
    • Stochastic theory of freeway traffic
    • Mahnke R, Kaupuzs J (1999) Stochastic theory of freeway traffic. Phys Rev E 59: 117.
    • (1999) Phys Rev E , vol.59 , pp. 117
    • Mahnke, R.1    Kaupuzs, J.2
  • 19
    • 77956531273 scopus 로고    scopus 로고
    • Application of he's energy balance method to duffing harmonic oscillators
    • doi: 10. 1080/00207160903337239
    • Momeni M, Jamshidi N, Barari A, Ganji DD (2010) Application of he's energy balance method to duffing harmonic oscillators. Int J Comput Math. doi: 10. 1080/00207160903337239.
    • (2010) Int J Comput Math
    • Momeni, M.1    Jamshidi, N.2    Barari, A.3    Ganji, D.D.4
  • 20
    • 21344491027 scopus 로고
    • Life-times of simulated traffic jams
    • Nagel K (1994) Life-times of simulated traffic jams. Int J Mod Phys C 5: 567.
    • (1994) Int J Mod Phys C , vol.5 , pp. 567
    • Nagel, K.1
  • 21
    • 0005424670 scopus 로고
    • High-speed micro simulations of traffic flow
    • PhD thesis, University of Cologne, March
    • Nagel K (1995) High-speed micro simulations of traffic flow. PhD thesis, University of Cologne, March.
    • (1995)
    • Nagel, K.1
  • 22
    • 0001232636 scopus 로고
    • A cellular automaton model for freeway traffic
    • Nagel K, Schreckenberg M (1992) A cellular automaton model for freeway traffic. J Phys I 2: 2221.
    • (1992) J Phys I , vol.2 , pp. 2221
    • Nagel, K.1    Schreckenberg, M.2
  • 23
    • 0000972656 scopus 로고    scopus 로고
    • Thermodynamic theory for the jamming transition in traffic flow
    • Nagatani T (1998) Thermodynamic theory for the jamming transition in traffic flow. Phys Rev E 58: 4271.
    • (1998) Phys Rev E , vol.58 , pp. 4271
    • Nagatani, T.1
  • 24
    • 0034171074 scopus 로고    scopus 로고
    • Traffic jams induced by fluctuation of a leading car
    • Nagatani T (2000) Traffic jams induced by fluctuation of a leading car. Phys Rev E 31: 3534.
    • (2000) Phys Rev E , vol.31 , pp. 3534
    • Nagatani, T.1
  • 25
    • 0036741847 scopus 로고    scopus 로고
    • The physics of traffic jams
    • Nagatani T (2002) The physics of traffic jams. Rep Prog Phys 65: 1331.
    • (2002) Rep Prog Phys , vol.65 , pp. 1331
    • Nagatani, T.1
  • 26
    • 21444445100 scopus 로고    scopus 로고
    • Three-parameter kinetics of a phase transition
    • Olemskoi AL, Khomenko AV (1996) Three-parameter kinetics of a phase transition. Sov Phys JETP 83: 1180.
    • (1996) Sov Phys JETP , vol.83 , pp. 1180
    • Olemskoi, A.L.1    Khomenko, A.V.2
  • 27
    • 55149083120 scopus 로고    scopus 로고
    • An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method
    • 355. doi: 10. 1007/s10440-008-9261-z
    • Seyed Alizadeh SR, Domairry GG, Karimpour S (2008) An approximation of the analytical solution of the linear and nonlinear integro-differential equations by homotopy perturbation method. Acta Appl Math 104: 355. doi: 10. 1007/s10440-008-9261-z.
    • (2008) Acta Appl Math 104
    • Seyed Alizadeh, S.R.1    Domairry, G.G.2    Karimpour, S.3
  • 28
    • 0032614061 scopus 로고    scopus 로고
    • Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic model
    • Treiber M, Hennecke A, Helbing D (1999) Derivation, properties, and simulation of a gas-kinetic-based, nonlocal traffic model. Phys Rev E 59: 239.
    • (1999) Phys Rev E , vol.59 , pp. 239
    • Treiber, M.1    Hennecke, A.2    Helbing, D.3
  • 29
    • 67651208845 scopus 로고    scopus 로고
    • Homotopy perturbation method for the mixed Volterra-Fredholm integral equations
    • Yildirim A (2009) Homotopy perturbation method for the mixed Volterra-Fredholm integral equations. Chaos Solitons Fractals 42: 2470.
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 2470
    • Yildirim, A.1
  • 30
    • 74249092028 scopus 로고    scopus 로고
    • Determination of periodic solutions for nonlinear oscillators with fractional powers by he's modified Lindstedt-Poincaré method
    • Yildirim A (2009) Determination of periodic solutions for nonlinear oscillators with fractional powers by he's modified Lindstedt-Poincaré method. Meccanica 45: 1.
    • (2009) Meccanica , vol.45 , pp. 1
    • Yildirim, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.