%0 Journal Article
%T New twelfth order iterative method for solving nonlinear equations and their dynamical aspects
%A Janngam, P.
%A Comemuang, C.
%J Journal of Mathematics and Computer Science
%D 2023
%V 28
%N 1
%@ ISSN 2008-949X
%F Janngam2023
%X The aims of this paper are to present new twelfth order iterative methods for solving nonlinear equations and one of
them is second derivative free which has been removed using the interpolation technique. Analysis of convergence finalized that the order of convergence is twelfth. Some numerical examples illustrate that the algorithm is more efficient and performs better than other methods with the same order. In the end, we present the basins of attraction using some complex polynomials of different degrees to observe the fractal behavior and dynamical aspects of the proposed algorithms.
%9 journal article
%R 10.22436/jmcs.028.01.05
%U http://dx.doi.org/10.22436/jmcs.028.01.05
%P 52--59
%0 Journal Article
%T New predictor-corrector iterative methods with twelfth-order convergence for solving nonlinear equations
%A N. Y. Abdul-Hassan
%J Amer. J. Appl. Math.
%D 2016
%V 4
%F Abdul-Hassan2016
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%T New twelfth order J-Halley method for solving nonlinear equations
%A F. Ahmad
%A S. Hussain
%A S. Hussain
%A A. Rafiq
%J Open Sci. J. Math. Appl.
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%F Ahmad2013
%0 Book
%T The numerical treatment of a single nonlinear equation
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%A B. Kalantari
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%T Another note on some quadrature based three-step iterative methods
%A S. Khattri
%J Numer. Algebra
%D 2013
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%T Two new eighth and twelfth order iterative methods for solving nonlinear equations
%A B. Kong-ied
%J Int. J. Math. Comput. Sci.
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%J J. Algorithms Comput. Tech.
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%T A family of methods for solving nonlinear equations with twelfth-order convergence
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%J Appl. Math.
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%T An iterative method with twelfth order convergence for solving non-linear equations
%A M. S. K. Mylapalli
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%A V. B. K. Vatti
%J Adv. Appl. Math. Sci.
%D 2021
%V 20
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%A M. A. Rehman
%A T. Abdeljawad
%J J. Math.
%D 2020
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%J J. Prime Res. Math.
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%T Iterative methods for solution of equations
%A J. F. Traub
%D 1964
%I Prentice-Hall
%C Englewood Cliffs
%F Traub1964