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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

Qianqian Yang, Feng Liu, Ian Turner

Applied Mathematical Modelling · 2009 · 608 citations · 33 references

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References

33

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter · Physics Reports · 2000 · 8.9K citations

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Chaos, fractional kinetics, and anomalous transport

G. M. Zaslavsky · Physics Reports · 2002 · 1.6K citations

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Finite difference approximations for fractional advection–dispersion flow equations

Mark M. Meerschaert, Charles Tadjeran · Journal of Computational and Applied Mathematics · 2004 · 1.5K citations

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Application of a fractional advection‐dispersion equation

David A. Benson, Stephen W. Wheatcraft, Mark M. Meerschaert · Water Resources Research · 2000 · 1.3K citations · Full text

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Finite difference approximations for two-sided space-fractional partial differential equations

Mark M. Meerschaert, Charles Tadjeran · Applied Numerical Mathematics · 2005 · 936 citations

, , +12