IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/370765.html
   My bibliography  Save this article

Numerical Solutions of the Generalized Burgers-Huxley Equation by a Differential Quadrature Method

Author

Listed:
  • Murat Sari
  • Gürhan Gürarslan

Abstract

Numerical solutions of the generalized Burgers-Huxley equation are obtained using a polynomial differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial-based differential quadrature method in space and a low-storage third-order total variation diminishing Runge-Kutta scheme in time has been used. The computed results with the use of this technique have been compared with the exact solution to show the required accuracy of it. Since the scheme is explicit, linearization is not needed and the approximate solution to the nonlinear equation is obtained easily. The effectiveness of this method is verified through illustrative examples. The present method is seen to be a very reliable alternative method to some existing techniques for such realistic problems.

Suggested Citation

  • Murat Sari & Gürhan Gürarslan, 2009. "Numerical Solutions of the Generalized Burgers-Huxley Equation by a Differential Quadrature Method," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-11, April.
    • Handle: RePEc:hin:jnlmpe:370765
    DOI: 10.1155/2009/370765
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2009/370765.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2009/370765.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2009/370765?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Korkut, Sıla Övgü, 2023. "An accurate and efficient numerical solution for the generalized Burgers–Huxley equation via Taylor wavelets method: Qualitative analyses and Applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 324-341.

    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:370765. 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.