IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v247y2026icp306-317.html

Projection and Multi-projection type methods for linear Fredholm integro-differential equations

Author

Listed:
  • Aimi, A.
  • Allouch, C.
  • Tahrichi, M.

Abstract

This work aims to derive enhanced convergence results for the numerical solutions of linear Fredholm integro-differential equations. We propose a new technique that yields convergence orders of r+1 and 2r for the projection type solution and its iterated version, respectively, using interpolatory or orthogonal projections onto the space of piecewise polynomials of degree at most r−1. Furthermore, by employing multi-projection methods based on the same approximation space, these convergence orders are enhanced to 3r+1 and 4r. The present study extends and improves upon earlier results in the literature. Several numerical examples are provided to illustrate the theoretical findings and to demonstrate the effectiveness of the proposed approaches.

Suggested Citation

  • Aimi, A. & Allouch, C. & Tahrichi, M., 2026. "Projection and Multi-projection type methods for linear Fredholm integro-differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 247(C), pages 306-317.
    • Handle: RePEc:eee:matcom:v:247:y:2026:i:c:p:306-317
    DOI: 10.1016/j.matcom.2026.03.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475426001047
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2026.03.022?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:matcom:v:247:y:2026:i:c:p:306-317. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.