IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/132651.html
   My bibliography  Save this article

Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term

Author

Listed:
  • Jifeng Cui
  • Hang Xu
  • Zhiliang Lin

Abstract

Based on the homotopy analysis method (HAM), an analytic approach is proposed for highly nonlinear periodic oscillating equations with absolute value terms. The nonsmoothness of absolute value terms is handled by means of Fourier expansion, and the convergence is accelerated by using the iteration method. Two typical examples which can not be solved by the method of averaging of perturbation technique are employed to illustrate the validity and flexibility of this approach. Rather, accurate approximations are obtained using the HAM-based approach. The proposed approach has general meanings and thus can be used to solve many highly nonlinear periodic oscillating systems with this type of nonsmoothness of absolute value term.

Suggested Citation

  • Jifeng Cui & Hang Xu & Zhiliang Lin, 2015. "Homotopy Analysis Method for Nonlinear Periodic Oscillating Equations with Absolute Value Term," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, July.
    • Handle: RePEc:hin:jnlmpe:132651
    DOI: 10.1155/2015/132651
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/132651.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/132651.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/132651?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:132651. 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.