{
  "id": "1104.4861",
  "version": "v1",
  "published": "2011-04-26T08:21:51.000Z",
  "updated": "2011-04-26T08:21:51.000Z",
  "title": "Finite difference approximations for a fractional diffusion/anti-diffusion equation",
  "authors": [
    "Pascal Azerad",
    "Afaf Bouharguane"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their linear stability is analyzed using the standard Von Neumann analysis: stability criteria are found and checked numerically. Moreover, we investigate the consistency and convergence of these schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-26T08:21:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional diffusion/anti-diffusion equation",
      "finite difference approximations",
      "standard von neumann analysis",
      "finite difference schemes",
      "linear stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4861A"
    }
  }
}