IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/682910.html
   My bibliography  Save this article

On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods

Author

Listed:
  • A. K. Gupta
  • S. Saha Ray

Abstract

Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers-Fisher and generalized Fisher equations. The approximate solutions thus obtained for the fractional Burgers-Fisher and generalized Fisher equations are compared with the optimal homotopy asymptotic method as well as with the exact solutions. Comparison between the obtained solutions with the exact solutions exhibits that both the featured methods are effective and efficient in solving nonlinear problems. The obtained results justify the applicability of the proposed methods for fractional order Burgers-Fisher and generalized Fisher’s equations.

Suggested Citation

  • A. K. Gupta & S. Saha Ray, 2014. "On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-16, May.
  • Handle: RePEc:hin:jijmms:682910
    DOI: 10.1155/2014/682910
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/682910.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/682910.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2014/682910?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. Majeed A. Yousif & Faraidun K. Hamasalh, 2023. "A Hybrid Non-Polynomial Spline Method and Conformable Fractional Continuity Equation," Mathematics, MDPI, vol. 11(17), pages 1-18, September.

    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:jijmms:682910. 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.