IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i9p2071-d1134256.html
   My bibliography  Save this article

Analytic Study of Coupled Burgers’ Equation

Author

Listed:
  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy)

  • Youssouf Massoun

    (Department of Mathematics, Faculty of Sciences, University of Algiers, 2 Street Didouche Mourad, Algiers 16000, Algeria)

  • Abderrezak Said

    (Department of Mathematics, Faculty of Sciences, Djilali Bounaama University of Khemis Miliana, Khemis Miliana 44225, Algeria
    Laboratory of Nonlinear Partial Differential Equations and History of Mathematics, ENS Kouba, Kouba 16308, Algeria)

  • Mohamed Elamine Talbi

    (Department of Mathematics, Faculty of Sciences, University of Saad-Dahlab Blida1, Blida 09000, Algeria)

Abstract

In this paper, we construct an analytical solution of the coupled Burgers’ equation, using the homotopy analysis method, which is a semi-analytical method, the approximate solution obtained by this method is convergent for different values of the convergence control parameter ℏ , the optimal value of ℏ corresponding with the minimum error to be determined by the residual. The results obtained by the present method are compared with other obtained solutions by different numerical methods.

Suggested Citation

  • Clemente Cesarano & Youssouf Massoun & Abderrezak Said & Mohamed Elamine Talbi, 2023. "Analytic Study of Coupled Burgers’ Equation," Mathematics, MDPI, vol. 11(9), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2071-:d:1134256
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/9/2071/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/9/2071/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:9:p:2071-:d:1134256. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.