IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6961296.html
   My bibliography  Save this article

A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations

Author

Listed:
  • Min-Li Zeng
  • Guo-Feng Zhang

Abstract

In this paper, we concentrate on the efficient solvers for the time-space fractional advection-diffusion equations. Firstly, the implicit finite difference schemes with the shifted Grünwald-Letnikov approximations for spatial fractional derivative and unshifted Grünwald-Letnikov approximations for time fractional derivative are employed to discretize time-space fractional advection-diffusion equations. The discretization results in a series of large dense linear systems. Then, a banded preconditioner is proposed and some theoretical properties for the preconditioning matrix are studied. Numerical implementations show that the banded preconditioner may lead to satisfactory experimental results when we choose appropriate bandwidth in the preconditioner.

Suggested Citation

  • Min-Li Zeng & Guo-Feng Zhang, 2017. "A Banded Preconditioning Iteration Method for Time-Space Fractional Advection-Diffusion Equations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-8, January.
    • Handle: RePEc:hin:jnlmpe:6961296
    DOI: 10.1155/2017/6961296
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2017/6961296.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2017/6961296.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/6961296?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:jnlmpe:6961296. 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.