« Previous Article

Original Research
Online Published: 10 Mar 2020

Published online: 10 Mar 2020
 


Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem

M. El-kady, M.a.attia, F. Ragab.

SUPPLEMENTARY FILES :

  • Supplementary file - 1

    • Cited By:1

    Abstract
    In this paper,we applied successive ultraspherical integration matrices, which are used for the numerical solution of fourth order linear boundary value problem arising in bending of a rectangular beam on elastic foundation. This method is used to approximate for the highest-order derivative and generating approximations to the lower-order derivatives through integration of the highest-order derivative. We can then use the produced equations in the form of algebraic system and hence it is converted to nonlinear programming. Numerical examples illustratedthe accuracy and efficiency of the proposed method

    Key words: Ultraspherical polynomials; integration matrices;beam bending boundary value problem.


    		 
    ARTICLE TOOLS
    Abstract
    PDF Fulltext
    How to cite this articleHow to cite this article
    Citation Tools
    Related Records
     Articles by M. El-Kady
    Articles by M.A.Attia
    Articles by F. Ragab
    on Google
    on Google Scholar


    How to Cite this Article
    Pubmed Style

    El-kady M, M.a.attia , Ragab F. Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences. 2014; 1(1): 37-43. doi:10.12816/0004797

    Web Style

    El-kady M, M.a.attia , Ragab F. Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. https://jecasmu.org/?mno=91598 [Access: September 15, 2025]. doi:10.12816/0004797

    AMA (American Medical Association) Style

    El-kady M, M.a.attia , Ragab F. Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences. 2014; 1(1): 37-43. doi:10.12816/0004797


    Vancouver/ICMJE Style

    El-kady M, M.a.attia , Ragab F. Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences. (2014), [cited September 15, 2025]; 1(1): 37-43. doi:10.12816/0004797


    Harvard Style

    El-kady, M., M.a.attia, . & Ragab, . F. (2014) Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences, 1 (1), 37-43. doi:10.12816/0004797


    Turabian Style

    El-kady, M., M.a.attia, and F. Ragab. 2014. Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences, 1 (1), 37-43. doi:10.12816/0004797


    Chicago Style

    El-kady, M., M.a.attia, and F. Ragab. "Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem." Journal of Engineering and Applied Sciences 1 (2014), 37-43. doi:10.12816/0004797


    MLA (The Modern Language Association) Style

    El-kady, M., M.a.attia, and F. Ragab. "Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem." Journal of Engineering and Applied Sciences 1.1 (2014), 37-43. Print. doi:10.12816/0004797


    APA (American Psychological Association) Style

    El-kady, M., M.a.attia, . & Ragab, . F. (2014) Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem. Journal of Engineering and Applied Sciences, 1 (1), 37-43. doi:10.12816/0004797


    Journal of Engineering and Applied Sciences Submit Article Track your Article
    • ISSN: 1658-6638 (print)
    • ISSN: 1658-7073 (electronic)