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Application of He's Variational Iteration Method to Solve Semidifferential Equations of ð ‘› th Order

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  • Asghar Ghorbani
  • Abdolsaeed Alavi

Abstract

He's variational iteration method is applied to solve ð ‘› th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He's method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the ð ‘› th order.

Suggested Citation

  • Asghar Ghorbani & Abdolsaeed Alavi, 2008. "Application of He's Variational Iteration Method to Solve Semidifferential Equations of ð ‘› th Order," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:627983
    DOI: 10.1155/2008/627983
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    Cited by:

    1. Waseem, Waseem & Sulaiman, M. & Aljohani, Abdulah Jeza, 2020. "Investigation of fractional models of damping material by a neuroevolutionary approach," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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