{
  "abstract": "In this paper, a second-order implicit difference scheme for the time-fractional subdiffusion equation is constructed using a corrected L1 approximation of the fractional derivative. Estimates for the generating functions and resolvent coefficients are derived and used to establish the stability and convergence of the scheme. Numerical results are consistent with the theoretical error estimates and confirm the second-order accuracy of the scheme.",
  "abstract_shown": true,
  "affiliations": [
    "Faculty of Economics and Business Administration, Sofia University, 1504 Sofia, Bulgaria",
    "Department of Mathematics, Physics and Chemistry, Faculty of Mechanical Engineering, Plovdiv Branch of Technical University of Sofia, 4000 Plovdiv, Bulgaria",
    "Department of Mathematics, Physics and Informatics, University of Forestry, 1756 Sofia, Bulgaria",
    "Department of Informational Modeling, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria",
    "Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51656-98513, Iran"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Marian Milev",
      "orcid": "0000-0002-1756-3358"
    },
    {
      "affs": [
        1
      ],
      "name": "Radka Koleva",
      "orcid": "0000-0001-9619-9680"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Yuri Dimitrov",
      "orcid": "0000-0001-6707-9583"
    },
    {
      "affs": [
        4
      ],
      "name": "Mehran Paziresh",
      "orcid": "0009-0008-8571-9773"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57nbry97p7sa3.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15110813",
  "fulltext_url": null,
  "id": "57nbry97p7sa3",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/11/813",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/57nbry97p7sa3.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:20:59Z",
      "native_id": "10.3390/axioms15110813",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/11/813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:F26",
      "subfield": "general"
    }
  ],
  "title": "Corrected L1 Scheme for the Fractional Subdiffusion Equation",
  "title_text": "Corrected L1 Scheme for the Fractional Subdiffusion Equation",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T00:21:06Z",
  "url": "https://research.draconitic.com/paper/57nbry97p7sa3",
  "venue": "Axioms",
  "versions": []
}