IDEAS home Printed from https://ideas.repec.org/a/hin/complx/3160725.html
   My bibliography  Save this article

Computational Study of Multiterm Time-Fractional Differential Equation Using Cubic B-Spline Finite Element Method

Author

Listed:
  • Shams Ul Arifeen
  • Sirajul Haq
  • Farhan Golkarmanesh
  • Jesus M. Munoz-Pacheco

Abstract

Due to the symmetry feature in nature, fractional differential equations precisely measure and describe biological and physical processes. Multiterm time-fractional order has been introduced to model complex processes in different physical phenomena. This article presents a numerical method based on the cubic B-spline finite element method for the solution of multiterm time-fractional differential equations. The temporal fractional part is defined in the Caputo sense while the B-spline finite element method is employed for space approximation. In addition, the four-point Gauss−Legendre quadrature is applied to evaluate the source term. The stability of the proposed scheme is discussed by the Von Neumann method, which verifies that the scheme is unconditionally stable. L2 and L∞ norms are used to check the efficiency and accuracy of the proposed scheme. Computed results are compared with the exact and available methods in the literature, which show the betterment of the proposed method.

Suggested Citation

  • Shams Ul Arifeen & Sirajul Haq & Farhan Golkarmanesh & Jesus M. Munoz-Pacheco, 2022. "Computational Study of Multiterm Time-Fractional Differential Equation Using Cubic B-Spline Finite Element Method," Complexity, Hindawi, vol. 2022, pages 1-15, November.
    • Handle: RePEc:hin:complx:3160725
    DOI: 10.1155/2022/3160725
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2022/3160725.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2022/3160725.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/3160725?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:complx:3160725. 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.