IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v367y2020ics009630031930757x.html
   My bibliography  Save this article

A new class of polynomial functions for approximate solution of generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equations

Author

Listed:
  • Hajishafieiha, J.
  • Abbasbandy, S.

Abstract

In this paper, a new class of polynomial functions equipped with a parameter is used, which is applied to approximate the gBBMB. In this method, the first, time discretization of the gBBMB equations is made by using finite difference approaches. Then, at any spatial point, a nonlinear equations system is generated. Using the collocation points and solving a nonlinear system in the least squares method, the coefficients of functions are obtained. In some examples, a linearization is performed first, and then the collocation method is applied.

Suggested Citation

  • Hajishafieiha, J. & Abbasbandy, S., 2020. "A new class of polynomial functions for approximate solution of generalized Benjamin–Bona–Mahony–Burgers (gBBMB) equations," Applied Mathematics and Computation, Elsevier, vol. 367(C).
    • Handle: RePEc:eee:apmaco:v:367:y:2020:i:c:s009630031930757x
    DOI: 10.1016/j.amc.2019.124765
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031930757X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124765?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tinggang Zhao & Xiaoxian Zhang & Jinxia Huo & Wanghui Su & Yongli Liu & Yujiang Wu, 2012. "Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-22, June.
    2. Zarebnia, M. & Parvaz, R., 2016. "On the numerical treatment and analysis of Benjamin–Bona–Mahony–Burgers equation," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 79-88.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Ngondiep, Eric, 2024. "A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 560-577.
    2. Yüzbaşı, Şuayip & Yıldırım, Gamze, 2022. "A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials," Applied Mathematics and Computation, Elsevier, vol. 421(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:eee:apmaco:v:367:y:2020:i:c:s009630031930757x. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      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.