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Volumn 46, Issue 5 ELECTRONIC SUPPL., 2004, Pages

Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation

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EID: 33751533397     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (100)

References (14)
  • 1
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    • Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain
    • O. P. Agrawal, Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain, J. Nonlinear Dynamics 29, (2002), 145-155.
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    • Agrawal, O.P.1
  • 2
    • 0000103589 scopus 로고    scopus 로고
    • Wright function as scale-invariant solutions of the diffusion-wave equation
    • R. Gorenflo, Yu. Luchko and F. Mainardi, Wright function as scale-invariant solutions of the diffusion-wave equation, J. Comp. Appl. Math. 118, (2000), 175-191.
    • (2000) J. Comp. Appl. Math , vol.118 , pp. 175-191
    • Gorenflo, R.1    Luchko, Y.2    Mainardi, F.3
  • 3
    • 0036650850 scopus 로고    scopus 로고
    • Time Fractional Diffusion: A Discrete Random Walk Approach [J]
    • R. Gorenflo, F. Mainardi, D. Moretti and P. Paradisi, Time Fractional Diffusion: A Discrete Random Walk Approach [J], Nonlinear Dynamics 29, (2002), 129-143.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 129-143
    • Gorenflo, R.1    Mainardi, F.2    Moretti, D.3    Paradisi, P.4
  • 4
    • 33747286487 scopus 로고    scopus 로고
    • The time fractional diffusion and advection-dispersion equation
    • F. Huang and F. Liu, The time fractional diffusion and advection-dispersion equation, ANZIAM J., 46, (2005), 317-330.
    • (2005) ANZIAM J , vol.46 , pp. 317-330
    • Huang, F.1    Liu, F.2
  • 6
    • 1542425102 scopus 로고    scopus 로고
    • Numerical solution of space fractional Fokker-Planck equation
    • F. Liu, V. Anh and I. Turner, Numerical solution of space fractional Fokker-Planck equation, J. Comp. and Appl. Math., 166, (2004), 209-219.
    • (2004) J. Comp. and Appl. Math , vol.166 , pp. 209-219
    • Liu, F.1    Anh, V.2    Turner, I.3
  • 7
    • 33751548431 scopus 로고    scopus 로고
    • Numerical simulation for solute transport in fractal porous media
    • F. Liu, V. Anh, I. Turner and P. Zhuang, Numerical simulation for solute transport in fractal porous media, ANZIAM J. 45(E), (2004), 461-473.
    • (2004) ANZIAM J , vol.45 , Issue.E , pp. 461-473
    • Liu, F.1    Anh, V.2    Turner, I.3    Zhuang, P.4
  • 8
    • 70549109826 scopus 로고    scopus 로고
    • Detail analysis of an explicit conservative difference approximation for the time fractional diffusion equation,
    • 04, Xiamen University, China
    • F. Liu, S. Shen, V. Anh and I. Turner, Detail analysis of an explicit conservative difference approximation for the time fractional diffusion equation, Technique Report 04, Xiamen University, China, 2004.
    • (2004) Technique Report
    • Liu, F.1    Shen, S.2    Anh, V.3    Turner, I.4
  • 10
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equations
    • W. R. Schneider and W. Wyss, Fractional diffusion and wave equations, J. Math. Phys., 30, (1989) 134-144.
    • (1989) J. Math. Phys , vol.30 , pp. 134-144
    • Schneider, W.R.1    Wyss, W.2
  • 11
    • 33751535361 scopus 로고    scopus 로고
    • A computationally effective numerical method for the fractional-order Bagley-Torvik equation
    • S. Shen and F. Liu, A computationally effective numerical method for the fractional-order Bagley-Torvik equation, Journal of Xiamen University (Natural Science), Vol. 45, No. 3, (2004), 306-311.
    • (2004) Journal of Xiamen University (Natural Science) , vol.45 , Issue.3 , pp. 306-311
    • Shen, S.1    Liu, F.2
  • 13
    • 0009481303 scopus 로고
    • The fractional diffusion equation
    • W. Wyss, The fractional diffusion equation, J. Math. Phys. 27, (1986) 2782-2785.
    • (1986) J. Math. Phys , vol.27 , pp. 2782-2785
    • Wyss, W.1
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.