IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6554221.html
   My bibliography  Save this article

Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations

Author

Listed:
  • Azam Zahrani
  • Mashaallah Matinfar
  • Mostafa Eslami
  • Arzu Akbulut

Abstract

This work concerns the numerical solutions of a category of nonlinear and linear time-fractional partial differential equations (TFPDEs) that are called time-fractional inhomogeneous KdV and nonlinear time-fractional KdV equations, respectively. The fractional derivative operators are of the Caputo type. Two-variable second-kind Chebyshev wavelets (SKCWs) are constructed using one-variable ones; then, utilizing corresponding integral operational matrices leads to an approximate solution to the problem under study. Also, it is found that the perturbation term tends to zero even if a finite number of the basis functions is adopted. To exhibit the applicability and efficiency of the proposed scheme, two models of the KdV equations are given.

Suggested Citation

  • Azam Zahrani & Mashaallah Matinfar & Mostafa Eslami & Arzu Akbulut, 2022. "Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-12, September.
    • Handle: RePEc:hin:jjmath:6554221
    DOI: 10.1155/2022/6554221
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/6554221.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/6554221.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/6554221?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:6554221. 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.