IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/804317.html
   My bibliography  Save this article

The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method

Author

Listed:
  • H. O. Bakodah
  • M. A. Banaja

Abstract

A method of lines approach to the numerical solution of nonlinear wave equations typified by the regularized long wave (RLW) is presented. The method developed uses a finite differences discretization to the space. Solution of the resulting system was obtained by applying fourth Runge-Kutta time discretization method. Using Von Neumann stability analysis, it is shown that the proposed method is marginally stable. To test the accuracy of the method some numerical experiments on test problems are presented. Test problems including solitary wave motion, two-solitary wave interaction, and the temporal evaluation of a Maxwellian initial pulse are studied. The accuracy of the present method is tested with and error norms and the conservation properties of mass, energy, and momentum under the RLW equation.

Suggested Citation

  • H. O. Bakodah & M. A. Banaja, 2013. "The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnlmpe:804317
    DOI: 10.1155/2013/804317
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/804317.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/804317.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/804317?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
    ---><---

    More about this item

    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:hin:jnlmpe:804317. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.