Article ID Journal Published Year Pages File Type
471233 Computers & Mathematics with Applications 2008 16 Pages PDF
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)
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