IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3778016.html
   My bibliography  Save this article

A Numerical Method for Solving Fractional Differential Equations

Author

Listed:
  • Yahong Wang
  • Haili Zhou
  • Liangcai Mei
  • Yingzhen Lin
  • Marjan Uddin

Abstract

In this paper, we solve the fractional differential equations (FDEs) with boundary value conditions in Sobolev space Hn0,1. The strategy is constructing multiscale orthonormal basis for Hn0,1 to get the approximation for the problems. The convergence of the method is proved, and it is tested on some numerical experiments; the tests show that our method is more efficient and accurate. The notion of numerical stability with respect to the condition number is introduced proving that the proposed method is numerically stable in this sense.

Suggested Citation

  • Yahong Wang & Haili Zhou & Liangcai Mei & Yingzhen Lin & Marjan Uddin, 2022. "A Numerical Method for Solving Fractional Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:3778016
    DOI: 10.1155/2022/3778016
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/3778016.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/3778016.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/3778016?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:3778016. 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.