IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/196308.html
   My bibliography  Save this article

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

Author

Listed:
  • Li-Hong Yang
  • Hong-Ying Li
  • Jing-Ran Wang

Abstract

A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given. The traditional reproducing kernel method requests that operator a satisfied linear operator equation , is bounded and its image space is the reproducing kernel space . It limits its application. Now, we modify the reproducing kernel method such that it can be more widely applicable. The n -term approximation solution obtained by the modified method is of high accuracy. The numerical example compared with other methods shows that the modified method is more efficient.

Suggested Citation

  • Li-Hong Yang & Hong-Ying Li & Jing-Ran Wang, 2013. "Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, November.
    • Handle: RePEc:hin:jnlaaa:196308
    DOI: 10.1155/2013/196308
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/196308.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/196308.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/196308?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:jnlaaa:196308. 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.