Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends

ANZIAM Journal

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

  Shen, S ^a   Liu, F ^a,b  

^a XIAMEN UNIVERSITY   (China)

^b QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70549107817     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (13)

1. G. J. Fix and J. P. Roop, Least squares finite element solution of a fractional order two-point boundary value problem. Comput. Math. Appl,, 48, 2004, 1017-1044.
2. R. Gorenflo and F. Mainardi Random walk models for space fractional diffusion processes, Functional Calculus & Applied Analysis, 1, 1998, 167-191.
3. R. Gorenflo and F. Mainardi, Approximation of Levy-Feller diffusion by random walk, Journal for Analysis and its Applications (ZAA), 18, 1999, 231-246.
4. J. A. Tenreiro Machado. A probabilistic interpretation of the fractional-order differentiation, Fractional Calculus & Applied Analysis, 6, No. 1, 2003, 73-80.
5. F. Liu, V. Anh and I. Turner, Numerical solution of the fractional-order Advection-Dispension Equation, The Proceeding of An International Conference on Boundary and Interior Layers-Computational and A symptotic Methods, Parth, Australia, 2002, 159-164.
6. F. Liu V. Anh I. Turner, Numerical solution of the space fractiona Fokker-Planck equation, Journal of Computational and Applied Mathematics 166, 2004, 209-219.
7. F. Liu, V. Anh, I. Turner and P. Zhuang, Numerical simulation for solute transport in fractal porous media, ANZIAM J., 45(E), 2004, C461-C473.
8. M. M. Meerschaert and C. Tadjeran, Finite difference approximations for fractional advection-dispersion flow equations, Journal of Computational and Applied Mathematics, 172, 2004, 65-77.
9. P. V. O'Neil, Advanced Engineering Mathematics, Thomson Brooks/ Cole, 2003.
10. I. Podlubny, Fractional Equations, Academic, Press, New York, 1999.
11. I. Podlubny, Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation, Fractional Calculus & Applied Analysis, 5, No.4, 2002, 367-386.
12. B, West and V. Seshadri, Linear systems with Levy fluctuations, Physica A, 113, 1982, 203-216.
13. Z. Xu, K. Zhang, Q. Lu, G. Leng Matrix Theory, Scientific publishing house, 2001.