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An efficient technique for finding the eigenvalues of fourth-order Sturm–Liouville problems

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  • Syam, Muhammed I.
  • Siyyam, Hani I.

Abstract

In this paper, we will develop a numerical technique for finding the eigenvalues of fourth-order non-singular Sturm–Liouville problems. We used the variational iteration methods as a basis for this technique. Numerical results and conclusions will be presented. Comparison results with others will be presented.

Suggested Citation

  • Syam, Muhammed I. & Siyyam, Hani I., 2009. "An efficient technique for finding the eigenvalues of fourth-order Sturm–Liouville problems," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 659-665.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:659-665
    DOI: 10.1016/j.chaos.2007.01.105
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
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    Cited by:

    1. M. M. Khashshan & Muhammed I. Syam & Ahlam Al Mokhmari, 2018. "A Reliable Method for Solving Fractional Sturm–Liouville Problems," Mathematics, MDPI, vol. 6(10), pages 1-10, September.
    2. Muhammed I. Syam & Azza Alsuwaidi & Asia Alneyadi & Safa Al Refai & Sondos Al Khaldi, 2018. "An Implicit Hybrid Method for Solving Fractional Bagley-Torvik Boundary Value Problem," Mathematics, MDPI, vol. 6(7), pages 1-11, June.
    3. Aghazadeh, A. & Mahmoudi, Y. & Saei, F.D., 2023. "Legendre approximation method for computing eigenvalues of fourth order fractional Sturm–Liouville problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 286-301.

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