Mohammadreza Hassani Soukhtabandani - Masters Student of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran.
Mohammad Amin Erfani Moghaddam - Masters Student of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran.
Davood Domiri Ganji - Faculty of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran.

In this paper, new method obtaining the Lagrange multiplier is presented for solving various equations. Innovation of the given method is using Fourier transformation to calculate the Lagrange multiplier, and steps of the proposed method is fully described manually. Exact identification of Lagrange multipliers in the VIM is very important for obtaining highly accurate solutions; on the other hand, it is complicated to determine the multipliers for strongly nonlinear equations. Therefore, this study introduces a simple and efficient way to solve Lagrange coefficient. The results show that the simplicity of this method can strongly justify using that instead of conventional approaches.

Lagrange multiplier, Fourier Transformation, Variational Iteration Method, New method