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Variational Iteration Method for Singular Perturbation Initial Value Problems with Delays

Author

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  • Yongxiang Zhao
  • Aiguo Xiao
  • Li Li
  • Chengjian Zhang

Abstract

The variational iteration method (VIM) is applied to solve singular perturbation initial value problems with delays (SPIVPDs). Some convergence results of VIM for solving SPIVPDs are given. The obtained sequence of iterates is based on the use of general Lagrange multipliers; the multipliers in the functionals can be identified by the variational theory. Moreover, the numerical examples show the efficiency of the method.

Suggested Citation

  • Yongxiang Zhao & Aiguo Xiao & Li Li & Chengjian Zhang, 2014. "Variational Iteration Method for Singular Perturbation Initial Value Problems with Delays," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, March.
    • Handle: RePEc:hin:jnlmpe:850343
    DOI: 10.1155/2014/850343
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