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Convergence of Variational Iteration Method for Second-Order Delay Differential Equations

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  • Hongliang Liu
  • Aiguo Xiao
  • Lihong Su

Abstract

This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. Moreover, some illustrative examples are given to show the efficiency of this method.

Suggested Citation

  • Hongliang Liu & Aiguo Xiao & Lihong Su, 2013. "Convergence of Variational Iteration Method for Second-Order Delay Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, February.
    • Handle: RePEc:hin:jnljam:634670
    DOI: 10.1155/2013/634670
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    Cited by:

    1. Zhou, Quan & Wang, Yinkun & Liu, Yicheng, 2024. "Chebyshev–Picard iteration methods for solving delay differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 1-20.
    2. Mohammad Abolhasani & Saeid Abbasbandy & Tofigh Allahviranloo, 2017. "A New Variational Iteration Method for a Class of Fractional Convection-Diffusion Equations in Large Domains," Mathematics, MDPI, vol. 5(2), pages 1-15, May.

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