Volume no :3, Issue no: 2, May (2010)

APPLICATION OF HE'S VARIATIONAL ITERATION METHOD FOR SOLVING DAMPED FORCED OSCILLATOR PROBLEM

Author's: M. Matinfar and S. Jafar Nodeh
Pages: [147] - [151]
Received Date: January 13, 2010; Revised January 20, 2010
Submitted by:

Abstract

In this paper, we use the He’s variational iteration method (VIM) to obtain the solution of damped forced oscillator problem as a second order ordinary differential equation. This method is based on Lagrange multiplier for identification of optimal value of parameter in a functional. Using this method, creates a sequence, which tends to the exact solution of problem. The method is capable of reducing the size of calculation, and easily overcomes the difficulty of the Adomian polynomials. The results reveal that He’s variational iteration method is very effective for these types of equations.

Keywords

He’s variational iteration method, damped forced oscillator problem.