{
  "id": "1603.02067",
  "version": "v1",
  "published": "2016-02-23T09:11:12.000Z",
  "updated": "2016-02-23T09:11:12.000Z",
  "title": "Numerical Solution of a Nonlinear Integro-Differential Equation",
  "authors": [
    "J. Buša",
    "M. Hnatič",
    "J. Honkonen",
    "T. Lučivjanský"
  ],
  "comment": "6 pages, 2 figures, 1 table",
  "journal": "EPJ Web of Conferences 108, 02017 (2016)",
  "doi": "10.1051/epjconf/201610802017",
  "categories": [
    "math.NA"
  ],
  "abstract": "An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction $A + A \\rightarrow\\varnothing$ modeling is discussed. Finite difference method together with the linear approximation of the unknown function is considered. For divergent integrals presented in the equation for dimension $d=2$ a regularization is used. Some numerical results are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-23T09:11:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical solution",
      "single-species annihilation reaction",
      "finite difference method",
      "divergent integrals",
      "nonlinear integro-differential equation arising"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}