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A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations

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  • K. Maleknejad
  • M. Tamamgar

Abstract

We reconstruct the variational iteration method that we call, parametric iteration method (PIM). The purposed method was applied for solving nonlinear Volterra integrodifferential equations (NVIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and Adomian decomposition method (ADM). Also exact solution of the 3rd example is obtained. The results show the simplicity and efficiency of PIM. Also, the convergence of this method is studied in this work.

Suggested Citation

  • K. Maleknejad & M. Tamamgar, 2014. "A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
  • Handle: RePEc:hin:jnlaaa:968242
    DOI: 10.1155/2014/968242
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    Cited by:

    1. Zhang, Jingjing, 2020. "An improved Störmer-Verlet method based on exact discretization for nonlinear oscillators," Applied Mathematics and Computation, Elsevier, vol. 386(C).

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