IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v34y2023i03ns0129183123500365.html
   My bibliography  Save this article

Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices

Author

Listed:
  • M. Abdelhakem

    (Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt2Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt)

  • D. Baleanu

    (Department of Mathematics, Cankaya University, Turkey4Institute of Space Sciences, Romania5Lebanese American University, Beirut, Lebanon)

  • P. Agarwal

    (Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India7Nonlinear Dynamics Research Center (NDRC), Ajman University, United Arab Emirates)

  • Hanaa Moussa

    (Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt)

Abstract

Legendre polynomials’ first derivatives have been used as the basis function via the pseudo-Galerkin spectral method. Operational matrices for derivatives have been used and extended to deal with the system of ordinary differential-algebraic equations. An algorithm via those matrices has been designed. The accuracy and efficiency of the proposed algorithm had been shown by two techniques, theoretically, via the boundedness of the approximated expansion and numerically through numerical examples.

Suggested Citation

  • M. Abdelhakem & D. Baleanu & P. Agarwal & Hanaa Moussa, 2023. "Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(03), pages 1-12, March.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:03:n:s0129183123500365
    DOI: 10.1142/S0129183123500365
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183123500365
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183123500365?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:ijmpcx:v:34:y:2023:i:03:n:s0129183123500365. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.