IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v266y2015icp642-655.html
   My bibliography  Save this article

A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay

Author

Listed:
  • Reutskiy, S.Yu.

Abstract

The paper presents a new numerical method for solving functional differential equations with proportional delays of the first and higher orders. The method consists of replacing the initial equation by an approximate equation which has an exact analytic solution with a set of free parameters. These free parameters are determined by the use of the collocation procedure. Some examples are given to demonstrate the validity and applicability of the new method and a comparison is made with the existing results. The numerical results show that the proposed method is of a high accuracy and is efficient for solving a wide class of functional-differential equations with proportional delays including equations of neutral type. The method is applicable to both initial and boundary value problems.

Suggested Citation

  • Reutskiy, S.Yu., 2015. "A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 642-655.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:642-655
    DOI: 10.1016/j.amc.2015.05.135
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315007663
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.05.135?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.

    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:266:y:2015:i:c:p:642-655. 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.