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Numerical Scheme for Solving Singular Two‐Point Boundary Value Problems

Author

Listed:
  • N. Ratib Anakira
  • A. K. Alomari
  • I. Hashim

Abstract

Singular two‐point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method.

Suggested Citation

  • N. Ratib Anakira & A. K. Alomari & I. Hashim, 2013. "Numerical Scheme for Solving Singular Two‐Point Boundary Value Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:468909
    DOI: 10.1155/2013/468909
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    References listed on IDEAS

    as
    1. Al-Khaled, Kamel, 2007. "Theory and computation in singular boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 678-684.
    2. Omar Abu Arqub & Zaer Abo-Hammour & Shaher Momani & Nabil Shawagfeh, 2012. "Solving Singular Two‐Point Boundary Value Problems Using Continuous Genetic Algorithm," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Omar Abu Arqub & Zaer Abo-Hammour & Shaher Momani & Nabil Shawagfeh, 2012. "Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-25, November.
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    Cited by:

    1. Osama Ogilat & Iqbal H. Jebril & Iqbal M. Batiha & Nidal Anakira & Tala Sasa, 2025. "Distributed Control for Mittag–Leffler Synchronization of Variable‐Order Fractional Gierer–Meinhardt Reaction‐Diffusion Systems," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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