Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations

Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the im...

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Bibliographic Details
Main Authors: Farooq Ahmed Shah, Maslina Darus, Imran Faisal, Muhammad Arsalan Shafiq
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/3794357
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Summary:Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.
ISSN:1026-0226
1607-887X