IDEAS home Printed from https://ideas.repec.org/a/pkp/ijomre/v6y2017i2p53-59id2202.html
   My bibliography  Save this article

Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations

Author

Listed:
  • E. U Agom
  • F. O Ogunfiditimi
  • Edet Valentine Bassey

Abstract

In this paper, we show the parallel of Adomian Decomposition Method (ADM) and Lobatto-Runge-Kutta Collocation Method (LRKCM) on first order initial value stiff differential equations. The former method provided closed form solutions while the latter gave approximate solutions. We illustrated these findings in two numerical examples. ADM solutions were in series form while those of LRKCM gave sizeable absolute error. We further visualized our findings in respective plots to show the great potentials of ADM over LRKCM in providing analytical solutions to stiff differential equations.

Suggested Citation

  • E. U Agom & F. O Ogunfiditimi & Edet Valentine Bassey, 2017. "Lobatto-Runge-Kutta Collocation and Adomian Decomposition Methods on Stiff Differential Equations," International Journal of Mathematical Research, Conscientia Beam, vol. 6(2), pages 53-59.
    • Handle: RePEc:pkp:ijomre:v:6:y:2017:i:2:p:53-59:id:2202
    as

    Download full text from publisher

    File URL: https://archive.conscientiabeam.com/index.php/24/article/view/2202/3232
    Download Restriction: no
    File URL: https://archive.conscientiabeam.com/index.php/24/article/view/2202/4518
    Download Restriction: no
    ---><---

    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:pkp:ijomre:v:6:y:2017:i:2:p:53-59:id:2202. 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: Dim Michael (email available below). General contact details of provider: https://archive.conscientiabeam.com/index.php/24/ .

    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.