A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method

• 作者: Maha S. M. Shehata
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Wave Variables Adomian Decomposition METHOD (ADM) VARIATIONAL ITERATION METHOD (VIM) Nonlinear Partial Differential Equation PDES BBM and CAHN-HILLIARD Equations
• 年，卷（期）: 2015,（2）
• 页码范围: 195-203
• 页数: 9页
• 分类号: O1

摘要

In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.