IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v349y2019icp314-324.html
   My bibliography  Save this article

Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method

Author

Listed:
  • Yang, Yin
  • Tang, Zhuyan
  • Huang, Yunqing

Abstract

We investigate the spectral collocation for Fredholm integral equations of the second kind with weakly singular kernel. The Jacobi-Gauss quadrature formula is used to approximate the integral operator in the numerical implementation. We obtain the convergence rates for the approximated solution of weakly singular Fredholm integral equations, which show that the errors of the approximate solution decay exponentially in L∞-norm and weighted L2-norm. Some numerical examples are given to illustrate the theoretical results.

Suggested Citation

  • Yang, Yin & Tang, Zhuyan & Huang, Yunqing, 2019. "Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 314-324.
    • Handle: RePEc:eee:apmaco:v:349:y:2019:i:c:p:314-324
    DOI: 10.1016/j.amc.2018.12.035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318310877
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.12.035?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.

    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:349:y:2019:i:c:p:314-324. 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.