{
  "id": "math/0506556",
  "version": "v1",
  "published": "2005-06-27T22:53:18.000Z",
  "updated": "2005-06-27T22:53:18.000Z",
  "title": "Numerical Solutions of a Boundary Value Problem for the Anomalous Diffusion Equation with the Riesz Fractional Derivative",
  "authors": [
    "Mariusz Ciesielski",
    "Jacek Leszczynski"
  ],
  "comment": "5 pages, 4 figures, 16th International Conference on Computer Methods in Mechanics CMM-2005, June 21-24, 2005, Czestochowa, Poland",
  "categories": [
    "math.NA"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-27T22:53:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary value problem",
      "anomalous diffusion equation",
      "riesz fractional derivative",
      "numerical solution",
      "paper sample results"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6556C"
    }
  }
}