Journals Information
Universal Journal of Applied Mathematics Vol. 3(2), pp. 29 - 33
DOI: 10.13189/ujam.2015.030204
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Three-Step Iterative Method for Solving Nonlinear Equations
I. A. Al-Subaihi *
Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia
ABSTRACT
In this paper, a published algorithm is investigated that proposes a three-step iterative method for solving nonlinear equations. This method is considered to be efficient with third order of convergence and an improvement to previous methods. This paper proves that the order of convergence of the previous scheme is two, and the efficiency index is less than the corresponding Newton's method. In addition, the three-step iterative method of the scheme is implemented, and the previously published numerical results are found to be incorrect. Furthermore, this paper presents a new three-step iterative method with third order of convergence for solving nonlinear equations. The same numerical examples previously presented in literature are used in this study to correct those results and to illustrate the efficiency and performance of the new method.
KEYWORDS
Newton's Method, Iterative Methods, Nonlinear Equations, Efficiency Index, Order of Convergence
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] I. A. Al-Subaihi , "Three-Step Iterative Method for Solving Nonlinear Equations," Universal Journal of Applied Mathematics, Vol. 3, No. 2, pp. 29 - 33, 2015. DOI: 10.13189/ujam.2015.030204.
(b). APA Format:
I. A. Al-Subaihi (2015). Three-Step Iterative Method for Solving Nonlinear Equations. Universal Journal of Applied Mathematics, 3(2), 29 - 33. DOI: 10.13189/ujam.2015.030204.