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

Asghar Ghorbani and Abdolsaeed Alavi

Mathematical Problems in Engineering, 2008, vol. 2008, 1-9

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:627983

DOI: 10.1155/2008/627983

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