IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/832074.html
   My bibliography  Save this article

A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations

Author

Listed:
  • Mohammed Al-Smadi
  • Omar Abu Arqub
  • Shaher Momani

Abstract

In this paper, reproducing kernel Hilbert space method is applied to approximate the solution of two-point boundary value problems for fourth-order Fredholm-Volterra integrodifferential equations. The analytical solution was calculated in the form of convergent series in the space with easily computable components. In the proposed method, the -term approximation is obtained and is proved to converge to the analytical solution. Meanwhile, the error of the approximate solution is monotone decreasing in the sense of the norm of . The proposed technique is applied to several examples to illustrate the accuracy, efficiency, and applicability of the method.

Suggested Citation

  • Mohammed Al-Smadi & Omar Abu Arqub & Shaher Momani, 2013. "A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:832074
    DOI: 10.1155/2013/832074
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/832074.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/832074.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/832074?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. Hussam Aljarrah & Mohammad Alaroud & Anuar Ishak & Maslina Darus, 2022. "Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method," Mathematics, MDPI, vol. 10(12), pages 1-16, June.
    2. Laila F. Seddek & Essam R. El-Zahar & Jae Dong Chung & Nehad Ali Shah, 2023. "A Novel Approach to Solving Fractional-Order Kolmogorov and Rosenau–Hyman Models through the q-Homotopy Analysis Transform Method," Mathematics, MDPI, vol. 11(6), pages 1-11, March.

    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:832074. 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.