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Original Research 


Ultraspherical Integration Method for Solving Beam Bending Boundary Value Problem

M. El-Kady, M.A.Attia, F. Ragab.

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  • 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.


     
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    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. JEAS. 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: July 19, 2022]. 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. JEAS. 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. JEAS. (2014), [cited July 19, 2022]; 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. JEAS, 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