Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471233 | Computers & Mathematics with Applications | 2008 | 16 Pages |
Abstract
In this paper, we propose an extension of the decomposition method for solving nonlinear equations. After a summary of Adomian’s decomposition method (ADM), a new kind of decomposition strategy for nonlinear functions in nonlinear equations is proposed, and a generalized decomposition method (GDM) for solving nonlinear equations is presented. Under a rather mild condition, the convergence of the GDM is proved. Also, some concrete examples are studied to illustrate with numerical results how powerful the GDM is. Finally, some general remarks conclude this study.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Yong-Chang Jiao, Chuangyin Dang, Yoshitsugu Yamamoto,