A Comparative Study of Variational Iteration Method and He-Laplace Method

• 作者: Hradyesh Kumar Mishra
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Variational Iteration METHOD He-Laplace Transform METHOD HOMOTOPY Perturbation METHOD Ordinary DIFFERENTIAL Equation Partial DIFFERENTIAL Equations He’s POLYNOMIALS
• 年，卷（期）: 2012,（10）
• 页码范围: 1193-1201
• 页数: 9页
• 分类号: O1

摘要

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.