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arXiv:math/0506556 [math.NA]AbstractReferencesReviewsResources

Numerical Solutions of a Boundary Value Problem for the Anomalous Diffusion Equation with the Riesz Fractional Derivative

Mariusz Ciesielski, Jacek Leszczynski

Published 2005-06-27Version 1

In this paper we present in one-dimensional space a numerical solution of a partial differential equation of fractional order. This equation describes a process of anomalous diffusion. The process arises from the interactions within the complex and non-homogeneous background. We presented a numerical method which bases on the finite differences method. We considered pure initial and boundary-initial value problems for the equation with the Riesz-Feller fractional derivative. In the final part of this paper sample results of simulation were shown.

Comments: 5 pages, 4 figures, 16th International Conference on Computer Methods in Mechanics CMM-2005, June 21-24, 2005, Czestochowa, Poland
Categories: math.NA
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