{
  "id": "1304.0704",
  "version": "v1",
  "published": "2013-04-02T17:26:34.000Z",
  "updated": "2013-04-02T17:26:34.000Z",
  "title": "Monotone Domain Decomposition Iterative Method and its Convergence for a Nonlinear Integro-Differential Equation of Volterra Type",
  "authors": [
    "Myong-Gil Rim",
    "Dong-Hyok Kim"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We apply the monotone domain decomposition iterative method to a nonlinear integro-differential equation of Volterra type and prove its convergence. To do this, by adding a term in both sides of the original equation we make a linear equation to get a monotone domain decomposition iterative scheme and prove the existence, uniqueness and convergence of iterative solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-02T17:26:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65R20",
      "65N55"
    ],
    "keywords": [
      "monotone domain decomposition iterative method",
      "nonlinear integro-differential equation",
      "volterra type",
      "domain decomposition iterative scheme",
      "convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0704R"
    }
  }
}