IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-30379-6_2.html
   My bibliography  Save this book chapter

Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Iftikhar Ali

    (King Fahd University of Petroleum and Minerals)

  • Nadeem A. Malik

    (King Fahd University of Petroleum and Minerals)

  • Bilal Chanane

    (King Fahd University of Petroleum and Minerals)

Abstract

The main objective of this work is to develop Matlab programs for solving the time-fractional diffusion equation (TFDE) with reflecting and absorbing boundary conditions on finite and infinite domains. Essentially, there are three major codes, one for finding the exact solution of the TFDE and other two are for finding the numerical solution of the TFDE. The code for finding the exact solutions is based on the fundamental solution of the TFDE, whereas the codes for finding the numerical solutions are based on the explicit and the implicit finite difference schemes, respectively. Finally, we illustrate the effectiveness of the codes by applying them to TFDEs with sharp initial data and for various reflecting and absorbing boundary conditions both on finite and infinite domains. The results show the difference of solutions between the standard diffusion equation and the time-fractional diffusion equation.

Suggested Citation

  • Iftikhar Ali & Nadeem A. Malik & Bilal Chanane, 2016. "Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 15-25, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_2
    DOI: 10.1007/978-3-319-30379-6_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-319-30379-6_2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.