IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/1485759.html
   My bibliography  Save this article

A New Method to Solve Numeric Solution of Nonlinear Dynamic System

Author

Listed:
  • Min Hu
  • Fengjun Li

Abstract

It is well known that the cubic spline function has advantages of simple forms, good convergence, approximation, and second-order smoothness. A particular class of cubic spline function is constructed and an effective method to solve the numerical solution of nonlinear dynamic system is proposed based on the cubic spline function. Compared with existing methods, this method not only has high approximation precision, but also avoids the Runge phenomenon. The error analysis of several methods is given via two numeric examples, which turned out that the proposed method is a much more feasible tool applied to the engineering practice.

Suggested Citation

  • Min Hu & Fengjun Li, 2016. "A New Method to Solve Numeric Solution of Nonlinear Dynamic System," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:1485759
    DOI: 10.1155/2016/1485759
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2016/1485759.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2016/1485759.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/1485759?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:1485759. 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.