IDEAS home Printed from https://ideas.repec.org/a/zib/zbmsmk/v3y2019i2p17-21.html
   My bibliography  Save this article

Finite Element Method For Solving Nonlinear Random Ordinary Differential Equations

Author

Listed:
  • Ibrahim Elkott

    (Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt)

  • Ibrahim.L. El-Kalla

    (Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt)

  • Ahmed Elsaid

    (Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt)

  • Reda Abdo

    (Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura 1University, PO 35516, Mansoura, Egypt)

Abstract

In this paper we utilize the finite element method for solving random nonlinear differential equations. In the proposed technique, the nodal coefficients are formulated as functions of the random variable. At certain values of random variable, curve fitting is used to construct the approximate nodal solution. Several numerical examples are presented, and the approximate mean solutions are compared with the exact mean solution to illustrate the ability and effectiveness of this method.

Suggested Citation

  • Ibrahim Elkott & Ibrahim.L. El-Kalla & Ahmed Elsaid & Reda Abdo, 2019. "Finite Element Method For Solving Nonlinear Random Ordinary Differential Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 3(2), pages 17-21, December.
    • Handle: RePEc:zib:zbmsmk:v:3:y:2019:i:2:p:17-21
    DOI: 10.26480/msmk.02.2019.17.21
    as

    Download full text from publisher

    File URL: https://matrixsmathematic.com/download/969/
    Download Restriction: no
    File URL: https://libkey.io/10.26480/msmk.02.2019.17.21?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
    ---><---

    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:3:y:2019:i:2:p:17-21. 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.

    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: Zibeline International Publishing (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.