IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/9030565.html
   My bibliography  Save this article

Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems

Author

Listed:
  • Lufeng Yang

Abstract

A novel rational spectral collocation method is presented combined with the singularity-separated technique for a system of singularly perturbed boundary value problems. The solution is expressed as , where is the solution of the corresponding auxiliary boundary value problem and is a singular correction with explicit expressions. The rational spectral collocation method in barycentric form with the sinh transformation is applied to solve the auxiliary third boundary problem. The parameters of the singular correction can be determined by the boundary conditions of the original problem. Numerical experiments are carried out to support theoretical results and provide a favorable comparison with research results of other work.

Suggested Citation

  • Lufeng Yang, 2019. "Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-12, November.
    • Handle: RePEc:hin:jnlmpe:9030565
    DOI: 10.1155/2019/9030565
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2019/9030565.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2019/9030565.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/9030565?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Essam R. El-Zahar & Ghaliah F. Al-Boqami & Haifa S. Al-Juaydi, 2024. "Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems," Mathematics, MDPI, vol. 12(2), pages 1-24, January.

    More about this item

    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:hin:jnlmpe:9030565. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.