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Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology

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  • Marwan Abukhaled

Abstract

The variational iteration method is applied to solve a class of nonlinear singular boundary value problems that arise in physiology. The process of the method, which produces solutions in terms of convergent series, is explained. The Lagrange multipliers needed to construct the correctional functional are found in terms of the exponential integral and Whittaker functions. The method easily overcomes the obstacle of singularities. Examples will be presented to test the method and compare it to other existing methods in order to confirm fast convergence and significant accuracy.

Suggested Citation

  • Marwan Abukhaled, 2013. "Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, February.
    • Handle: RePEc:hin:jjmath:720134
    DOI: 10.1155/2013/720134
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    References listed on IDEAS

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    1. Momani, Shaher & Odibat, Zaid, 2007. "Numerical comparison of methods for solving linear differential equations of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1248-1255.
    2. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-130, November.
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    Cited by:

    1. Asma Ali Elbeleze & Adem Kılıçman & Bachok M. Taib, 2014. "Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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