Open AccessNew Iterative Method for Solving Nonlinear Equations
Author(s) -
Baghdad Science Journal
Publication year - 2014
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.11.4.1649-1654
Subject(s) - iterated function , convergence (economics) , mathematics , nonlinear system , sequence (biology) , iterative method , local convergence , root finding algorithm , root (linguistics) , order (exchange) , mathematical optimization , mathematical analysis , physics , linguistics , philosophy , finance , quantum mechanics , biology , economics , genetics , economic growth
The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five order of convergence. Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods.