Numerical simulations of anomalous diffusion

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dc.creatorCiesielski, Mariusz
dc.creatorLeszczynski, Jacek
dc.date2003-09-02
dc.date.accessioned2026-07-07T04:30:31Z
dc.date.available2026-07-07T04:30:31Z
dc.descriptionIn this paper we present numerical methods - finite differences and finite elements - for solution of partial differential equation of fractional order in time for one-dimensional space. This equation describes anomalous diffusion which is a phenomenon connected with the interactions within the complex and non-homogeneous background. In order to consider physical initial-value conditions we use fractional derivative in the Caputo sense. In numerical analysis the boundary conditions of first kind are accounted and in the final part of this paper the result of simulations are presented.
dc.description5 pages, 2 figures, CMM 2003 Conference Gliwice/Wisla Poland
dc.identifierhttps://arxiv.org/abs/math-ph/0309007
dc.identifierhttp://arxiv.org/abs/math-ph/0309007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57491
dc.subjectMathematical Physics
dc.subject26A33
dc.titleNumerical simulations of anomalous diffusion
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