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Efficient shooting method for solving two point boundary value problems

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  • Attili, Basem S.
  • Syam, Muhammed I.

Abstract

We present an efficient shooting method for solving two point boundary value problems. The Adomian decomposition method will be utilized to obtain a series solution of the initial value problems involved. Numerical examples and comparison of the work of others will also be done.

Suggested Citation

  • Attili, Basem S. & Syam, Muhammed I., 2008. "Efficient shooting method for solving two point boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 895-903.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:5:p:895-903
    DOI: 10.1016/j.chaos.2006.05.094
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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    3. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
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    Cited by:

    1. Bothayna S. H. Kashkari & Muhammed I. Syam, 2018. "Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation," Complexity, Hindawi, vol. 2018, pages 1-7, December.
    2. Chein-Shan Liu, 2012. "The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 468-495, February.
    3. Tomar, Saurabh & Dhama, Soniya & Ramos, Higinio & Singh, Mehakpreet, 2023. "An efficient technique based on Green’s function for solving two-point boundary value problems and its convergence analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 408-423.
    4. 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.
    5. Muhammad Bilal Hafeez & Wojciech Sumelka & Umar Nazir & Hijaz Ahmad & Sameh Askar, 2021. "Mechanism of Solute and Thermal Characteristics in a Casson Hybrid Nanofluid Based with Ethylene Glycol Influenced by Soret and Dufour Effects," Energies, MDPI, vol. 14(20), pages 1-19, October.

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