IDEAS home Printed from https://ideas.repec.org/a/arp/ajoams/2018p43-48.html
   My bibliography  Save this article

Uniformly Order Eight Implicit Second Derivative Method for Solving Second-Order Stiff Ordinary Differential Equations ODEs

Author

Listed:
  • Pius Tumba

    (Department of Mathematic, Adamawa State University, Mubi-Nigeria)

  • Sabo John*

    (Department of Mathematic, Adamawa State University, Mubi-Nigeria)

  • Markus Hamadina

    (Department of Statistics, Adamawa State Polytechnic, Yola-Nigeria)

Abstract

A one-step hybrid block method for initial value problems of general second order Ordinary Differential Equations has been studied in this paper. In the derivation of the method, power series is adopted as basis function to obtain the main continuous scheme through collocation and interpolations approach. Taylor method is also used together with new method to generate the non-overlapping numerical results. The new method is then applied to solve the system of second-order stiff ordinary differential equations and the accuracy is better when compared with the existing methods in terms of error.

Suggested Citation

  • Pius Tumba & Sabo John* & Markus Hamadina, 2018. "Uniformly Order Eight Implicit Second Derivative Method for Solving Second-Order Stiff Ordinary Differential Equations ODEs," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 4(5), pages 43-48, 05-2018.
    • Handle: RePEc:arp:ajoams:2018:p:43-48
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
    as

    Download full text from publisher

    File URL: https://www.arpgweb.com/pdf-files/ajams4(5)43-48.pdf
    Download Restriction: no
    File URL: https://www.arpgweb.com/?ic=journal&info=archive&journal=17&month=05-2018&issue=5&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:43-48. 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.