IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v250y2015icp805-816.html
   My bibliography  Save this article

Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

Author

Listed:
  • Mirzaee, Farshid
  • Hadadiyan, Elham

Abstract

In this work we approximate the solution of the linear Fredholm integral equations, by means of a new two-dimensional modification of hat functions (2D-MHFs) and a new operational matrix of integration. By this idea, the basic equations will be changed into the associated systems of algebraic equations. Also, an error analysis is provided under several mild conditions. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.

Suggested Citation

  • Mirzaee, Farshid & Hadadiyan, Elham, 2015. "Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 805-816.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:805-816
    DOI: 10.1016/j.amc.2014.10.128
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314015033
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.10.128?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. Esmaeilbeigi, Mohsen & Mirzaee, Farshid & Moazami, Davoud, 2017. "A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 236-246.
    2. Karamollahi, Nasibeh & Heydari, Mohammad & Loghmani, Ghasem Barid, 2021. "Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 414-432.

    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:250:y:2015:i:c:p:805-816. 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.