IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/5708674.html

A Fourth-Order ADI Compact Difference Scheme for the Two-Dimensional Space-Fractional Diffusion Equation With Different Tempering Parameters

Author

Listed:
  • Taiqiang Jiang
  • Xiaotong Li
  • Zeshan Qiu

Abstract

In this paper, we developed an improved fourth-order approximation for the Riemann–Liouville tempered fractional derivatives and applied it to solve the two-dimensional space-tempered fractional diffusion equation. The first-order temporal derivative was discretized using the Crank–Nicolson method, while the spatial tempered fractional derivatives were approximated by the improved fourth-order formula. The resulting two-dimensional discrete system was then handled by the alternating direction implicit (ADI) method to reduce computational cost. The stability and convergence of the numerical scheme were established. Numerical experiments were presented to validate the effectiveness of the proposed scheme.

Suggested Citation

  • Taiqiang Jiang & Xiaotong Li & Zeshan Qiu, 2026. "A Fourth-Order ADI Compact Difference Scheme for the Two-Dimensional Space-Fractional Diffusion Equation With Different Tempering Parameters," Journal of Mathematics, Hindawi, vol. 2026, pages 1-13, August.
    • Handle: RePEc:hin:jjmath:5708674
    DOI: 10.1155/jom/5708674
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2026/5708674.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2026/5708674.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/5708674?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jjmath:5708674. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.