IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/267106.html
   My bibliography  Save this article

High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems

Author

Listed:
  • Xiujie Lv
  • Jinggang Qin
  • Tongke Wang

Abstract

This paper is concerned with accurate and efficient numerical methods for solving viscous and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI like method. Both of them have the advantages of unconditional stability, less impact of the perturbing terms on the accuracy, and being convenient to compute the boundary values of the intermediates. Besides this, the compact scheme has high-order accuracy and costs less in computational time. Numerical results are presented to show the accuracy and efficiency of the new algorithms.

Suggested Citation

  • Xiujie Lv & Jinggang Qin & Tongke Wang, 2013. "High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, May.
    • Handle: RePEc:hin:jnljam:267106
    DOI: 10.1155/2013/267106
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/267106.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/267106.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/267106?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:jnljam:267106. 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.