IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v252y2015icp58-63.html
   My bibliography  Save this article

Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior

Author

Listed:
  • Geng, F.Z.
  • Qian, S.P.
  • Cui, M.G.

Abstract

This paper is devoted to the numerical treatment of singularly perturbed differential-difference equations with small delay whose solutions exhibiting boundary layer. The reproducing kernel method presented in the previous work is not valid for singularly perturbed differential-difference equations with small delay. In this work, we will improve the reproducing kernel method in order to obtain accurate approximation to the solutions of considered singularly perturbed differential-difference equations. Two numerical examples are provided to show the performance of the present scheme.

Suggested Citation

  • Geng, F.Z. & Qian, S.P. & Cui, M.G., 2015. "Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 58-63.
    • Handle: RePEc:eee:apmaco:v:252:y:2015:i:c:p:58-63
    DOI: 10.1016/j.amc.2014.11.106
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314016397
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.11.106?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. Kumar, Sunil & Kumar, B. V. Rathish, 2017. "A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 508-522.
    2. Sahihi, Hussein & Abbasbandy, Saeid & Allahviranloo, Tofigh, 2019. "Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 583-598.
    3. Al-Smadi, Mohammed & Arqub, Omar Abu & Shawagfeh, Nabil & Momani, Shaher, 2016. "Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 137-148.
    4. Allahviranloo, Tofigh & Sahihi, Hussein, 2021. "Reproducing kernel method to solve fractional delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 400(C).

    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:252:y:2015:i:c:p:58-63. 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.