IDEAS home Printed from https://ideas.repec.org/a/arp/ajoams/2018p53-60.html
   My bibliography  Save this article

New Continuous Hybrid Constant Block Method for the Solution of Third Order Initial Value Problem of Ordinary Differential Equations

Author

Listed:
  • K. M. Fasasi

    (Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria)

Abstract

In this study, a new one step continuous hybrid constant block method is developed using interpolation and collocation of power series approximate solution to solve initial -value problems involving third -order ordinary differential equations. The one step block method was augmented by the introduction of off grid points so as to circumvent Dahquist zero stability barrier. The block method is then applied to obtain the solution of two numerical examples for demonstration of the efficiency of the new method. The results are compared with the existing ones in literature and it is concluded that results of Continuous Hybrid Constant Block Method is more accurate than when it was implemented in predictor corrector mode or using implicit Runge-Kutta method.

Suggested Citation

  • K. M. Fasasi, 2018. "New Continuous Hybrid Constant Block Method for the Solution of Third Order Initial Value Problem of Ordinary Differential Equations," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 4(6), pages 53-60, 06-2018.
    • Handle: RePEc:arp:ajoams:2018:p:53-60
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
    as

    Download full text from publisher

    File URL: https://www.arpgweb.com/pdf-files/ajams4(6)53-60.pdf
    Download Restriction: no
    File URL: https://www.arpgweb.com/?ic=journal&info=archive&journal=17&month=06-2018&issue=6&volume=4
    Download Restriction: no
    File URL: https://libkey.io/arpgweb.com/?ic=journal&journal=17&info=aims?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
    ---><---

    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:arp:ajoams:2018:p:53-60. 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: Managing Editor (email available below). General contact details of provider: http://arpgweb.com/index.php?ic=journal&journal=17&info=aims .

    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.