IDEAS home Printed from https://ideas.repec.org/a/zib/zbmsmk/v7y2023i1p16-21.html
   My bibliography  Save this article

Bessel Matrix Polynomials And Fifth-Order Differential Equations

Author

Listed:
  • Galal I. El-Baghdady

    (Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt)

  • Mohamed El-Gamel

    (Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt)

  • Mahmoud Abd El-Hady

    (Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt)

Abstract

There are numerous methods for numerically solving a fifth-order ordinary differential equation. We show in this paper that the Bessel matrix polynomials method is a powerful tool for numerically solving this equation. Our method is tested on examples, and it is compared to other methods. It is demonstrated that the Bessel matrix polynomials method produces good results.

Suggested Citation

  • Galal I. El-Baghdady & Mohamed El-Gamel & Mahmoud Abd El-Hady, 2023. "Bessel Matrix Polynomials And Fifth-Order Differential Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 7(1), pages 16-21, February.
    • Handle: RePEc:zib:zbmsmk:v:7:y:2023:i:1:p:16-21
    DOI: 10.26480/msmk.01.2023.16.21
    as

    Download full text from publisher

    File URL: https://matrixsmathematic.com/archives/1msmk2023/1msmk2023-16-21.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.26480/msmk.01.2023.16.21?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
    ---><---

    References listed on IDEAS

    as
    1. Lamnii, A. & Mraoui, H. & Sbibih, D. & Tijini, A., 2008. "Sextic spline solution of fifth-order boundary value problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 237-246.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Costabile, F.A. & Gualtieri, M.I. & Napoli, A., 2021. "Lidstone-based collocation splines for odd-order BVPs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 186(C), pages 124-135.

    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:zib:zbmsmk:v:7:y:2023:i:1:p:16-21. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Zibeline International Publishing The email address of this maintainer does not seem to be valid anymore. Please ask Zibeline International Publishing to update the entry or send us the correct address (email available below). General contact details of provider: https://matrixsmathematic.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.