IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v232y2014icp775-783.html
   My bibliography  Save this article

Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method

Author

Listed:
  • Zhuang, Qingqu
  • Ren, Quanwei

Abstract

A spectral method is developed to approximate a nonlinear fourth-order integro-differential equation. An iterative algorithm is proposed to solve the discrete algebraic system. Convergence analysis of the iteration is carried out. An error estimate is also derived for the proposed method. Several numerical examples are presented to confirm the efficiency and accuracy of the overall algorithm.

Suggested Citation

  • Zhuang, Qingqu & Ren, Quanwei, 2014. "Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 775-783.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:775-783
    DOI: 10.1016/j.amc.2014.01.157
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314002033
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.01.157?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.

    Citations

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


    Cited by:

    1. Zingre, Kishor T. & Wan, Man Pun & Tong, Shanshan & Li, Hua & Chang, Victor W.-C. & Wong, Swee Khian & Thian Toh, Winston Boo & Leng Lee, Irene Yen, 2015. "Modeling of cool roof heat transfer in tropical climate," Renewable Energy, Elsevier, vol. 75(C), pages 210-223.
    2. Zingre, Kishor T. & Wan, Man Pun & Wong, Swee Khian & Toh, Winston Boo Thian & Lee, Irene Yen Leng, 2015. "Modelling of cool roof performance for double-skin roofs in tropical climate," Energy, Elsevier, vol. 82(C), pages 813-826.

    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:232:y:2014:i:c:p:775-783. 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: 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.