{
  "annotation_id": "59e72bcf-247a-421f-87ff-966add359bce",
  "date_created": "2026-03-02T18:00:39.368000Z",
  "date_modified": "2026-03-02T18:00:39.368000Z",
  "file_hash": "7f62afe29865bb174bbfc7fca7e575c7d47019de361d5b10ddaba2409b7e1794",
  "private": false,
  "record": {
    "abstract": "We present a method for solving a class of initial valued, coupled,\nnon-linear differential equations with `moving singularities\u0027 subject to some\nsubsidiary conditions. We show that this type of singularities can be\nadequately treated by establishing certain `moving\u0027 jump conditions across\nthem. We show how a first integral of the differential equations, if available,\ncan also be used for checking the accuracy of the numerical solution.",
    "arxiv_id": "physics/0210026",
    "authors": [
      "S. S. Gousheh",
      "H. R. Sepangi",
      "K. Ghafoori-Tabrizi"
    ],
    "categories": [
      "physics.comp-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1016/S0010-4655(02)00630-6",
    "journal_ref": "Comput.Phys.Commun. 149 (2003) 135-141",
    "title": "A method for solving systems of non-linear differential equations with   moving singularities",
    "url": "https://arxiv.org/abs/physics/0210026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "628e1e2f-dded-444a-af2c-e3110453c7d7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}