Application of the variational iteration method to thin circular plates


Ozer H.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, vol.9, no.1, pp.25-30, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1515/ijnsns.2008.9.1.25
  • Title of Journal : INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Page Numbers: pp.25-30

Abstract

The variational iteration method has been attracted much attention of researchers as a promising method for solving linear and nonlinear differential equations. In this study, He's variational iteration method is applied to the bending problems of thin circular plates. The method depends on constructing a correction functional by a general Lagrange multiplier. Some examples are given to illustrate the efficiency of the proposed method. One iteration leads to exact solutions, confirming that the method is a powerful mathematical tool to get the solutions easily compared with the direct variational methods.