Implicit difference approximation of the Galilei invariant fractional advection diffusion equation

ANZIAM Journal

Volumn 48, Issue , 2014, Pages C775-C789

  Chen, Changming ^a   Liu, F ^b   Turner, I ^c   Anh, V ^c  

^a XIAMEN UNIVERSITY   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^c QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84914701719     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

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3. R. Metzler and J. Klafter, The random walk's guide to anomalous diffusion: a fractional dynamics approach, Phys. Reports, 339,(2000), 1-77. doi:10.1016/S0370-1573(00)00070-3
4. M. Meerschaert, C. Tadjeran, Finite difference approximations for fractional advection-dispersion ow equations, J. Comp. Appl. Math., 172 (2004), 65-77. doi:10.1016/j.cam.2004.01.033
5. I. Podlubny, Fractional Differential Equations, Academic Press, New York, 1999. http://people.tuke.sk/igor.podlubny/fde.html
6. I. M. Sokolov, J. Klafter and A. Blumen, Fractional Kinetics, Physics Today, 55(11) (2002) 48-54.
7. S. B. Yuste and L. Acedo, An explicit finite difference method and a new Von Neumann-type stability analysis for fractional diffusion equations, SIAM J. Numer. Anal., 42(5) (2005), 1862-1874.
8. P. Zhuang and F. Liu, Implicit difference approximation for the time fractional diffusion equation, J. Appl. Math. Comp., 22(3) (2006) 87-99. http://jamc.net/contents/table-contents-view.php?idx=580