IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v409y2021ics0096300321004744.html
   My bibliography  Save this article

Solving nonlinear integral equations with non-separable kernel via a high-order iterative process

Author

Listed:
  • Hernández-Verón, M.A.
  • Yadav, Sonia
  • Martínez, Eulalia
  • Singh, Sukhjit

Abstract

In this work we focus on location and approximation of a solution of nonlinear integral equations of Hammerstein-type when the kernel is non-separable through a high order iterative process. For this purpose, we approximate the non-separable kernel by means of a separable kernel and then, we perform a complete study about the convergence criteria for the approximated solution obtained to the solution of our first problem. Different examples have been tested in order to apply our theoretical results.

Suggested Citation

  • Hernández-Verón, M.A. & Yadav, Sonia & Martínez, Eulalia & Singh, Sukhjit, 2021. "Solving nonlinear integral equations with non-separable kernel via a high-order iterative process," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321004744
    DOI: 10.1016/j.amc.2021.126385
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321004744
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126385?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.

    References listed on IDEAS

    as
    1. Singh, Sukhjit & Gupta, Dharmendra Kumar & Martínez, E. & Hueso, José L., 2016. "Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 266-277.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sukjith Singh & Eulalia Martínez & P. Maroju & Ramandeep Behl, 2020. "A study of the local convergence of a fifth order iterative method," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 439-455, June.
    2. Abhimanyu Kumar & D. K. Gupta & Shwetabh Srivastava, 2017. "Influence of the Center Condition on the Two-Step Secant Method," International Journal of Analysis, Hindawi, vol. 2017, pages 1-9, September.

    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:409:y:2021:i:c:s0096300321004744. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.