{
  "id": "1702.08512",
  "version": "v1",
  "published": "2017-02-22T02:28:49.000Z",
  "updated": "2017-02-22T02:28:49.000Z",
  "title": "The renormalization method for asymptotic analysis: from differential equations to difference equations",
  "authors": [
    "Cheng-shi Liu"
  ],
  "comment": "23 pages. arXiv admin note: text overlap with arXiv:1605.02888",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the paper, we obtain the renormalization method and homotopy renormalization method based on the discrete Taylor expansion or namely Newton-Maclaurin series, and apply them to some difference equations and give the global asymptotic solutions. In particular, for those equations not including a small parameter, the homotopy renormalization method can also be applied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-22T02:28:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "difference equations",
      "asymptotic analysis",
      "differential equations",
      "homotopy renormalization method",
      "discrete taylor expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}