IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v11y2019i5p33.html
   My bibliography  Save this article

Exact Solution of Linear and Nonlinear Wave Equations by Double Laplace and Iterative Method

Author

Listed:
  • Adesina K. Adio
  • Wumi S. Ajayi
  • Olabode O. Bamisile
  • Babatunde T. Akanbi

Abstract

A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.

Suggested Citation

  • Adesina K. Adio & Wumi S. Ajayi & Olabode O. Bamisile & Babatunde T. Akanbi, 2019. "Exact Solution of Linear and Nonlinear Wave Equations by Double Laplace and Iterative Method," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(5), pages 33-39, October.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:33
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/40736/42248
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/40736
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    double Laplace transform; Inverse double Laplace transform; iterative method; wave equations;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    Statistics

    Access and download statistics

    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:ibn:jmrjnl:v:11:y:2019:i:5:p:33. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.