期刊文献+

Comparison of the fractional advection-dispersion equation and the fractional Fokker-Planck equation: Fractional dynamics and real-world applicability 被引量:3

Comparison of the fractional advection-dispersion equation and the fractional Fokker-Planck equation: Fractional dynamics and real-world applicability
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作者 ZhangYong
出处 《南京大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第3期265-275,共11页 Journal of Nanjing University(Natural Science)
基金 Foundation Item:National Science Foundation (DMS 1025417), Desert Research Institute (IR& D)Acknowledgments: This paper does not necessarily reflect the view of the NSF or DRI.
关键词 英文摘要 内容介绍 编辑工作 期刊 fractional-derivative equation, Fick's law, dynamic analysis, numerical simulation
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  • 1Bear J. Dynamics of Fluids in Porous Media. New York: American Elsevier, 1972, 822.
  • 2Risken H. The Fokker-Planck Equation. Ber- . lin: Springer-Verlag, 1984, 48-70.
  • 3Jazwinski A H. Stochastic Process and Filtering Theory. New York: Academic Press, 1970, 126-131.
  • 4Boon J P, Grosfils P, Lutsko J F. Propagation- dispersion equation. Journal of Statistical Phys- ics, 2003, 113(3--4): 527-548.
  • 5Jiang J G, Wu J C. Lattice-walk method for the convection diffusion equation. Journal of Nan- iing University(Natural Science), 2011, 47(3)276-280.
  • 6Berkowitz B, Cortis A, Dentz M, etal. Model- ing non-Fickian transport on geological forma- tions as a continuous time random walk. Review of Geophysics, 2006, 44 (2): RG2003, 10. 1029/2005RG000178.
  • 7Berkowitz B, Cortis A, Dror I, etal. Laborato- ry experiments on dispersive transport across in- terfaces: The role of flow direction. Water Re- sources Research, 2009, 45.. W02201, doi: 10. 1029/2008WR007342.
  • 8Cortis A, Gallo C, Seher H, et al. Numerical simulation of non-Fickian transport in geological formations with multiple scale heterogeneities. Water Resources Research, 2004, 40: W04209, doi: 10. 1029/2003WR002750.
  • 9Kinze[bach W. The random walk method in pol- lutant transport simulation. Custodio E, Reidel D. Groundwater flow and quality modeling. Netherlands.. Dordrecht, 1988, 227-245.
  • 10Metzler R, Klafter J. The random walk's guide to anomalous diffusion: A fractional dynamics approach. Physics Report, 2000, 339: 1-77.

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