IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i2p172-d205941.html
   My bibliography  Save this article

Analytic Solution of a Class of Singular Second-Order Boundary Value Problems with Applications

Author

Listed:
  • Hoda S. Ali

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Elham Alali

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Abdelhalim Ebaid

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Fahad M. Alharbi

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

Abstract

Recently, it was observed that the concentration/heat transfer of pure/nano fluids are finally governed by singular second-order boundary value problems with exponential coefficients. These coefficients were transformed into polynomials and therefore the governing equations become singular in a new independent variable. Unfortunately, the published approximate solutions in the literature suffer from some weaknesses as showed by one of the present coauthors. Hence, the exact solution for such types of problems becomes a challenge. In this paper, a straightforward approach is presented to obtaining the exact solution for such class of singular second-order boundary value problems. The results are also applied to some selected problems within the literature. Accordingly, the published solutions are recovered as special cases of the present ones.

Suggested Citation

  • Hoda S. Ali & Elham Alali & Abdelhalim Ebaid & Fahad M. Alharbi, 2019. "Analytic Solution of a Class of Singular Second-Order Boundary Value Problems with Applications," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:172-:d:205941
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/2/172/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/7/2/172/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Abdelhalim Ebaid & S. M. Khaled, 2014. "An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
    2. Emad H. Aly & Abdelhalim Ebaid, 2013. "Exact Analytical Solution for Suction and Injection Flow with Thermal Enhancement of Five Nanofluids over an Isothermal Stretching Sheet with Effect of the Slip Model: A Comparative Study," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, October.
    3. Abdelhalim Ebaid & Fahd Al Mutairi & S. M. Khaled, 2014. "Effect of Velocity Slip Boundary Condition on the Flow and Heat Transfer of Cu-Water and TiO 2 -Water Nanofluids in the Presence of a Magnetic Field," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Reem Alrebdi & Hind K. Al-Jeaid, 2023. "Accurate Solution for the Pantograph Delay Differential Equation via Laplace Transform," Mathematics, MDPI, vol. 11(9), pages 1-15, April.

    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. Fahd Almutairi & S.M. Khaled & Abdelhalim Ebaid, 2019. "MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip," Mathematics, MDPI, vol. 7(3), pages 1-11, February.

    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:gam:jmathe:v:7:y:2019:i:2:p:172-:d:205941. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.