IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/548905.html
   My bibliography  Save this article

Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach

Author

Listed:
  • Dong-mei Huang
  • Guo-liang Zou
  • L. W. Zhang

Abstract

Numerical approximation of nonlinear Klein-Gordon (KG) equation with quadratic and cubic nonlinearity is performed using the element-free improved moving least squares Ritz (IMLS-Ritz) method. A regular arrangement of nodes is employed in this study for the numerical integration to compute the system equation. A functional formulation for the KG equation is established and discretized by the Ritz minimization procedure. Newmark’s integration scheme combined with an iterative technique is applied to the resulting nonlinear system equations. The effectiveness and efficiency of the IMLS-Ritz method for the KG equation have been testified through convergence analyses and comparison study between the present results and the exact solutions.

Suggested Citation

  • Dong-mei Huang & Guo-liang Zou & L. W. Zhang, 2015. "Numerical Approximation of Nonlinear Klein-Gordon Equation Using an Element-Free Approach," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:548905
    DOI: 10.1155/2015/548905
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/548905.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/548905.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/548905?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. Md. Asaduzzaman & Adem Kilicman & Md. Zulfikar Ali & Siti Hasana Sapar, 2020. "Fixed Point Theorem Based Solvability of 2-Dimensional Dissipative Cubic Nonlinear Klein-Gordon Equation," Mathematics, MDPI, vol. 8(7), pages 1-12, July.

    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:548905. 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.