Review of some iterative methods for solving nonlinear equations with multiple zeros

In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. The purpose is to find the best iteration schemes that have been formulated thus far. Hence, some numerical experiments and basin of attractions were performed and presen...

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Bibliographic Details
Published in:Afrika mathematica 2019-06, Vol.30 (3-4), p.355-369
Main Authors: Jamaludin, N. A. A., Nik Long, N. M. A., Salimi, Mehdi, Sharifi, Somayeh
Format: Article
Language:English
Subjects:
Applications of Mathematics
History of Mathematical Sciences
Iterative methods
Mathematics
Mathematics and Statistics
Mathematics Education
Nonlinear equations
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Summary:In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. The purpose is to find the best iteration schemes that have been formulated thus far. Hence, some numerical experiments and basin of attractions were performed and presented graphically. Based on the five test functions it was found that the best method is D87a due Dong’s Family method (Int J Comput Math 21:363–367, 1987 ).
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-018-00650-3