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

作　　者：Maha S. M. Shehata 

机构地区：[1]Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

出　　处：《American Journal of Computational Mathematics》2015年第2期195-203,共9页美国计算数学期刊（英文）

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.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.

关 键 词：Wave Variables Adomian Decomposition METHOD (ADM) Variational ITERATION METHOD (VIM) Nonlinear Partial Differential Equation PDES BBM and CAHN-HILLIARD Equations 

分 类 号：O1[理学—数学]