Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 627983, 9 pages
Research Article

Application of He's Variational Iteration Method to Solve Semidifferential Equations of nth Order

Asghar Ghorbani1,2 and Abdolsaeed Alavi3

1Department of Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
2Young Researchers Club, Islamic Azad University, Gorgan-Branch, Gorgan, Iran
3Department of Mathematics, Faculty of Sciences, Payame Noor University, Bandare Torkman, Iran

Received 3 October 2007; Accepted 4 February 2008

Academic Editor: Oleg Gendelman

Copyright © 2008 Asghar Ghorbani and Abdolsaeed Alavi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


He's variational iteration method is applied to solve nth 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 nth order.