{
  "abstract": "Time-fractional linear and semilinear parabolic equations with a Caputo time derivative of order $α\\in(0,1)$ are considered. Their solutions exhibit an initial singularity of type $t^σ$ for any fixed $σ\\in (0,1) \\cup (1,2)$. A backward L2-type discrete fractional-derivative operator of order $3-α$ is considered on nonuniform temporal meshes. Sufficient conditions for inverse monotonicity of this operator areestablished. Hence, sharp pointwise-in-time error bounds are obtained on graded temporal meshes with arbitrary degree of grading. The theoretical findings are illustrated by numerical experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23780",
  "author_total": 2,
  "authors": [
    {
      "name": "Natalia Kopteva"
    },
    {
      "name": "Lu Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fwp6pt8z2kb9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23780",
  "fulltext_url": null,
  "id": "2fwp6pt8z2kb9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23780",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
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  ],
  "openalex": "W7222923534",
  "pdf_url": "https://arxiv.org/pdf/2610.23780",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fwp6pt8z2kb9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23780",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23780"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Error analysis of a backward L2 method on graded meshes for linear and semilinear subdiffusion equations",
  "title_text": "Error analysis of a backward L2 method on graded meshes for linear and semilinear subdiffusion equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/2fwp6pt8z2kb9",
  "venue": "arXiv",
  "versions": []
}