@Article{Janngam2023,
author="P. Janngam, C. Comemuang",
title="New twelfth order iterative method for solving nonlinear equations and their dynamical aspects",
year="2023",
volume="28",
number="1",
pages="52--59",
abstract="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.",
issn=" ISSN 2008-949X",
doi="10.22436/jmcs.028.01.05",
url="http://dx.doi.org/10.22436/jmcs.028.01.05"
}
@Article{Abdul-Hassan2016,
author="N. Y. Abdul-Hassan",
title="New predictor-corrector iterative methods with twelfth-order convergence for solving nonlinear equations",
journal="Amer. J. Appl. Math.",
year="2016",
pages="175--180",
volume="4"
}
@Article{Ahmad2013,
author="F. Ahmad, S. Hussain, S. Hussain, A. Rafiq",
title="New twelfth order J-Halley method for solving nonlinear equations",
journal="Open Sci. J. Math. Appl.",
year="2013",
pages="1--4",
volume="1"
}
@Book{Householder1970,
author="A. S. Householder",
title="The numerical treatment of a single nonlinear equation",
year="1970",
publisher="McGraw-Hill",
address="New York"
}
@Article{Kalantari2005,
author="B. Kalantari",
title="Method of creating graphical works based on polynomials",
journal="U.S. Patent",
year="2005",
pages="894--705",
volume="6"
}
@Article{Khattri2013,
author="S. Khattri",
title="Another note on some quadrature based three-step iterative methods",
journal="Numer. Algebra",
year="2013",
pages="549--555",
volume="3"
}
@Article{Kong-ied2021,
author="B. Kong-ied",
title="Two new eighth and twelfth order iterative methods for solving nonlinear equations",
journal="Int. J. Math. Comput. Sci.",
year="2021",
pages="333--344",
volume="16"
}
@Article{Li2019,
author="S. Li",
title="Fourth-order iterative method without calculating the higher derivatives for nonlinear equation",
journal="J. Algorithms Comput. Tech.",
year="2019",
pages="8 pages",
volume="13"
}
@Article{Liu2013,
author="X. Liu, X. Wang",
title="A family of methods for solving nonlinear equations with twelfth-order convergence",
journal="Appl. Math.",
year="2013",
pages="326--329",
volume="4"
}
@Article{Mir2007,
author="N. A. Mir, T. Zaman",
title="Some quadrature based three-step iterative methods for non-linear equations",
journal="Appl. Math. Comput.",
year="2007",
pages="366--373",
volume="193"
}
@Article{Mylapalli2021,
author="M. S. K. Mylapalli, R. K. Palli, V. B. K. Vatti",
title="An iterative method with twelfth order convergence for solving non-linear equations",
journal="Adv. Appl. Math. Sci.",
year="2021",
pages="1633--1643",
volume="20"
}
@Article{Naseem2020,
author="A. Naseem, M. A. Rehman, T. Abdeljawad",
title="Numerical algorithms for finding zeros of nonlinear equations and their dynamical aspects",
journal="J. Math.",
year="2020",
pages="11 pages",
volume="2020"
}
@Article{Nawaz2018,
author="M. Nawaz, A. Naseem, W. Nazeer",
title="New twelfth order algorithms for solving nonlinear equations by using variational iteration technique",
journal="J. Prime Res. Math.",
year="2018",
pages="24--36",
volume="14"
}
@Article{Thukral2015,
author="R. Thukral",
title="New twelfth order iterative methods for finding multiple roots of nonlinear equations",
journal="Amer. J. Comput. Appl. Math.",
year="2015",
pages="33--41",
volume="5"
}
@Book{Traub1964,
author="J. F. Traub",
title="Iterative methods for solution of equations",
year="1964",
publisher="Prentice-Hall",
address="Englewood Cliffs"
}