Extension of Newton-Steffenssen method by Gejji-Jafari decomposition Technique for solving nonlinear equations

2013/04/25 by J. P. Jaiswal, Jaiswal, J. P.
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1304.6873

openalex publication_date 2013/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we extend Newton-Steffenssen method for solving nonlinear equations, introduced by Sharma [J.R. Sharma, A composite third order Newton-Steffenssen method for solving nonlinear equations, Appl. Math. Comput. 169 (2005), 242-246] by using the Gejji-Jafari decomposition technique. Several numerical examples are given to illustrate the efficiency and performance of this new method.

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