TITLE:
A Comparative Study of Variational Iteration Method and He-Laplace Method
AUTHORS:
Hradyesh Kumar Mishra
KEYWORDS:
Variational Iteration Method; He-Laplace Transform Method; Homotopy Perturbation Method; Ordinary Differential Equation; Partial Differential Equations; He’s Polynomials
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.10,
October
12,
2012
ABSTRACT: In this paper, variational iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential equations. Laplace transformation with the homotopy perturbation method is called He-Laplace method. A comparison is made among variational iteration method and He-Laplace. It is shown that, in He-Laplace method, the nonlinear terms of differential equation can be easily handled by the use of He’s polynomials and provides better results.