IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2012y2012i1n839836.html
   My bibliography  Save this article

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm‐Volterra Integrodifferential Equations

Author

Listed:
  • Omar Abu Arqub
  • Mohammed Al-Smadi
  • Shaher Momani

Abstract

This paper investigates the numerical solution of nonlinear Fredholm‐Volterra integro‐differential equations using reproducing kernel Hilbert space method. The solution u(x) is represented in the form of series in the reproducing kernel space. In the mean time, the n‐term approximate solution un(x) is obtained and it is proved to converge to the exact solution u(x). Furthermore, the proposed method has an advantage that it is possible to pick any point in the interval of integration and as well the approximate solution and its derivative will be applicable. Numerical examples are included to demonstrate the accuracy and applicability of the presented technique. The results reveal that the method is very effective and simple.

Suggested Citation

Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:839836
DOI: 10.1155/2012/839836
as

Download full text from publisher

File URL: https://doi.org/10.1155/2012/839836
Download Restriction: no

File URL: https://libkey.io/10.1155/2012/839836?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:wly:jnlaaa:v:2012:y:2012:i:1:n:839836. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1155/4058 .

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.