IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i04ns0218348x23400595.html
   My bibliography  Save this article

Application Of Hosoya Polynomial To Solve A Class Of Time-Fractional Diffusion Equations

Author

Listed:
  • HOSSEIN JAFARI

    (Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran†Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa‡Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan)

  • ROGHAYEH MOALLEM GANJI

    (Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran)

  • SONALI MANDAR NARSALE

    (�Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India)

  • MALUTI KGAROSE

    (��Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa)

  • VAN THINH NGUYEN

    (�Department of Civil and Environmental Engineering, Seoul National University, Seoul, South Korea)

Abstract

In this paper, we study time-fractional diffusion equations such as the time-fractional Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF–ADEs) in the Caputo sense. Here, we have developed the operational matrices (OMs) using the Hosoya polynomial (HP) as basis function for OMs to obtain solution of the TF–KEs and the TF–ADEs. The great benefit of this technique is converting the TF–KEs and the TF–ADEs to algebraic equations, which can be simply solved the problem under study. We provide error bound for the approximation of a bivariate function using the HP. Furthermore, comparison of the numerical results obtained using the proposed technique with the exact solution is done. The results prove that the proposed numerical method is most relevant for solving the TF–KEs and the TF–ADEs and accurate.

Suggested Citation

  • Hossein Jafari & Roghayeh Moallem Ganji & Sonali Mandar Narsale & Maluti Kgarose & Van Thinh Nguyen, 2023. "Application Of Hosoya Polynomial To Solve A Class Of Time-Fractional Diffusion Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400595
    DOI: 10.1142/S0218348X23400595
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400595
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400595?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400595. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.