New derivative-free iterative family having optimal convergence order sixteen and its applications

PurposeThe purpose of the article is to construct a new class of higher-order iterative techniques for solving scalar nonlinear problems.Design/methodology/approachThe scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods are formulated...

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Published in:	Engineering computations Vol. 39; no. 3; pp. 965 - 992
Main Authors:	Kaur, Manpreet, Kumar, Sanjeev, Kansal, Munish
Format:	Journal Article
Language:	English
Published:	Bradford Emerald Publishing Limited 04.03.2022 Emerald Group Publishing Limited
Subjects:	Approximation Chemical reactors Convergence Efficiency Eigenvalues Iterative methods Methods Nonlinear equations Power Workloads Chemical equilibrium With and without memory methods 65Y20 Iterative methods Basins of attraction 65H05 Kung-Traub conjecture
ISSN:	0264-4401, 1758-7077
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Abstract	PurposeThe purpose of the article is to construct a new class of higher-order iterative techniques for solving scalar nonlinear problems.Design/methodology/approachThe scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods are formulated into the derivative-free approaches. Further, to enhance the computational efficiency, the developed iterative methods have been extended to the methods with memory, with the aid of the self-accelerating parameter.FindingsIt is found that the presented family is optimal in terms of Kung and Traub conjecture as it evaluates only five functions in each iteration and attains convergence order sixteen. The proposed family is examined on some practical problems by modeling into nonlinear equations, such as chemical equilibrium problems, beam positioning problems, eigenvalue problems and fractional conversion in a chemical reactor. The obtained results confirm that the developed scheme works more adequately as compared to the existing methods from the literature. Furthermore, the basins of attraction of the different methods have been included to check the convergence in the complex plane.Originality/valueThe presented experiments show that the developed schemes are of great benefit to implement on real-life problems.
AbstractList	Purpose>The purpose of the article is to construct a new class of higher-order iterative techniques for solving scalar nonlinear problems.Design/methodology/approach>The scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods are formulated into the derivative-free approaches. Further, to enhance the computational efficiency, the developed iterative methods have been extended to the methods with memory, with the aid of the self-accelerating parameter.Findings>It is found that the presented family is optimal in terms of Kung and Traub conjecture as it evaluates only five functions in each iteration and attains convergence order sixteen. The proposed family is examined on some practical problems by modeling into nonlinear equations, such as chemical equilibrium problems, beam positioning problems, eigenvalue problems and fractional conversion in a chemical reactor. The obtained results confirm that the developed scheme works more adequately as compared to the existing methods from the literature. Furthermore, the basins of attraction of the different methods have been included to check the convergence in the complex plane.Originality/value>The presented experiments show that the developed schemes are of great benefit to implement on real-life problems. PurposeThe purpose of the article is to construct a new class of higher-order iterative techniques for solving scalar nonlinear problems.Design/methodology/approachThe scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods are formulated into the derivative-free approaches. Further, to enhance the computational efficiency, the developed iterative methods have been extended to the methods with memory, with the aid of the self-accelerating parameter.FindingsIt is found that the presented family is optimal in terms of Kung and Traub conjecture as it evaluates only five functions in each iteration and attains convergence order sixteen. The proposed family is examined on some practical problems by modeling into nonlinear equations, such as chemical equilibrium problems, beam positioning problems, eigenvalue problems and fractional conversion in a chemical reactor. The obtained results confirm that the developed scheme works more adequately as compared to the existing methods from the literature. Furthermore, the basins of attraction of the different methods have been included to check the convergence in the complex plane.Originality/valueThe presented experiments show that the developed schemes are of great benefit to implement on real-life problems.
Author	Kansal, Munish Kumar, Sanjeev Kaur, Manpreet
Author_xml	– sequence: 1 givenname: Manpreet surname: Kaur fullname: Kaur, Manpreet email: mkaur.math@gmail.com – sequence: 2 givenname: Sanjeev surname: Kumar fullname: Kumar, Sanjeev email: sanjeev.smca@thapar.edu – sequence: 3 givenname: Munish orcidid: 0000-0002-7502-6091 surname: Kansal fullname: Kansal, Munish email: munish.kansal@thapar.edu
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References	(key2022030312121463700_ref031) 1986; 23 (key2022030312121463700_ref040) 2012 (key2022030312121463700_ref021) 2009; 50 (key2022030312121463700_ref028) 2011; 49 (key2022030312121463700_ref039) 2020; 8 (key2022030312121463700_ref020) 2009; 40 (key2022030312121463700_ref036) 2012; 2 (key2022030312121463700_ref001) 2020; 17 (key2022030312121463700_ref010) 2019; 354 (key2022030312121463700_ref030) 2011; 218 (key2022030312121463700_ref014) 2017; 2017 (key2022030312121463700_ref023) 1974; 21 (key2022030312121463700_ref003) 2005; 69 (key2022030312121463700_ref034) 1933; 1933 (key2022030312121463700_ref018) 2011; 61 (key2022030312121463700_ref011) 2007; 190 (key2022030312121463700_ref013) 2013; 252 (key2022030312121463700_ref017) 2011; 235 (key2022030312121463700_ref024) 2019; 7 (key2022030312121463700_ref032) 2015; 12 (key2022030312121463700_ref012) 2013; 57 (key2022030312121463700_ref005) 2019; 354 (key2022030312121463700_ref004) 2013; 219 (key2022030312121463700_ref002) 2003; 157 (key2022030312121463700_ref007) 2003 (key2022030312121463700_ref019) 2014; 160 (key2022030312121463700_ref015) 2019; 11 (key2022030312121463700_ref008) 2011 (key2022030312121463700_ref016) 2021; 14 (key2022030312121463700_ref027) 2015; 265 (key2022030312121463700_ref033) 2012; 153 (key2022030312121463700_ref035) 2001 (key2022030312121463700_ref025) 2017; 318 (key2022030312121463700_ref029) 2012 (key2022030312121463700_ref038) 1987; 52 (key2022030312121463700_ref006) 2006 (key2022030312121463700_ref022) 1973; 10 (key2022030312121463700_ref009) 2010 (key2022030312121463700_ref026) 2012; 218 (key2022030312121463700_ref037) 1964
References_xml	– volume: 218 start-page: 2584 issue: 6 year: 2011 ident: key2022030312121463700_ref030 article-title: Basin attractors for various methods publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2011.07.076 – volume: 11 start-page: 769 issue: 6 year: 2019 ident: key2022030312121463700_ref015 article-title: Fixed point root-finding methods of fourth-order of convergence publication-title: Symmetry doi: 10.3390/sym11060769 – volume: 157 start-page: 197 issue: 1 year: 2003 ident: key2022030312121463700_ref002 article-title: Geometric constructions of iterative functions to solve nonlinear equations publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/S0377-0427(03)00420-5 – volume: 2 start-page: 112 issue: 3 year: 2012 ident: key2022030312121463700_ref036 article-title: New sixteenth-order derivative-free methods for solving nonlinear equations publication-title: The American Journal of Computational and Applied Mathematics doi: 10.5923/j.ajcam.20120203.08 – volume: 17 issue: 7 year: 2020 ident: key2022030312121463700_ref001 article-title: Some new iterative techniques for the problems involving nonlinear equations publication-title: International Journal of Computational Methods – volume: 265 start-page: 1115 year: 2015 ident: key2022030312121463700_ref027 article-title: New iterative technique for solving nonlinear equations publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2015.05.129 – volume: 160 start-page: 608 issue: 2 year: 2014 ident: key2022030312121463700_ref019 article-title: An optimal family of fast 16th-order derivative-free multipoint simple-root finders for nonlinear equations publication-title: Journal of Optimization Theory and Applications doi: 10.1007/s10957-013-0268-x – volume: 190 start-page: 686 issue: 1 year: 2007 ident: key2022030312121463700_ref011 article-title: Variants of Newton's method using fifth-order quadrature formulas publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2007.01.062 – volume-title: Multipoint Methods for Solving Nonlinear Equations year: 2012 ident: key2022030312121463700_ref029 – volume-title: Introduction to Scientific Programming: Computational Problem Solving Using Maple and C year: 2012 ident: key2022030312121463700_ref040 – volume: 219 start-page: 9856 issue: 18 year: 2013 ident: key2022030312121463700_ref004 article-title: A new third-order Newton-type iterative method for solving nonlinear equations publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2013.03.131 – volume: 2017 issue: 3204652 year: 2017 ident: key2022030312121463700_ref014 article-title: Multistep high-order methods for nonlinear equations using Padé-like approximants publication-title: Discrete Dynamics in Nature and Society – volume-title: Numerical Analysis year: 2011 ident: key2022030312121463700_ref008 – volume: 235 start-page: 3178 issue: 10 year: 2011 ident: key2022030312121463700_ref017 article-title: A biparametric family of optimally convergent sixteenth-order multipoint methods with their fourth-step weighting function as a sum of a rational and a generic two-variable function publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2011.01.003 – year: 1964 ident: key2022030312121463700_ref037 publication-title: Iterative Methods for the Solution of Equations – volume: 40 start-page: 571 issue: 4 year: 2009 ident: key2022030312121463700_ref020 article-title: A family of ellipse methods for solving non-linear equations publication-title: International Journal of Mathematical Education in Science and Technology doi: 10.1080/00207390902825336 – volume: 1933 start-page: 64 issue: 1 year: 1933 ident: key2022030312121463700_ref034 article-title: Remarks on iteration publication-title: Scandinavian Actuarial Journal doi: 10.1080/03461238.1933.10419209 – volume: 21 start-page: 643 issue: 4 year: 1974 ident: key2022030312121463700_ref023 article-title: Optimal order of one-point and multipoint iteration publication-title: Journal of the ACM doi: 10.1145/321850.321860 – volume: 218 start-page: 10548 issue: 21 year: 2012 ident: key2022030312121463700_ref026 article-title: Basins of attraction for several methods to find simple roots of nonlinear equations publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2012.04.017 – volume: 153 start-page: 225 issue: 1 year: 2012 ident: key2022030312121463700_ref033 article-title: An improvement of Ostrowski's and King's techniques with optimal convergence order eight publication-title: Journal of Optimization Theory and Applications doi: 10.1007/s10957-011-9929-9 – volume: 12 issue: 1 year: 2015 ident: key2022030312121463700_ref032 article-title: On some highly efficient derivative free methods with and without memory for solving nonlinear equations publication-title: International Journal of Computational Methods – volume: 69 start-page: 212 issue: 3 year: 2005 ident: key2022030312121463700_ref003 article-title: Dynamics of the King and Jarratt iterations publication-title: Aequationes Mathematicae doi: 10.1007/s00010-004-2733-y – volume: 354 start-page: 286 year: 2019 ident: key2022030312121463700_ref010 article-title: Dynamics of iterative families with memory based on weight functions procedure publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2018.01.019 – volume-title: Attractor Basins of Various Root-Finding Methods year: 2001 ident: key2022030312121463700_ref035 – volume: 52 start-page: 1 issue: 1 year: 1987 ident: key2022030312121463700_ref038 article-title: Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions publication-title: Numerische Mathematik doi: 10.1007/BF01401018 – volume: 50 start-page: 66 issue: 1-2 year: 2009 ident: key2022030312121463700_ref021 article-title: Fourth-order and fifth-order iterative methods for nonlinear algebraic equations publication-title: Mathematical and Computer Modelling doi: 10.1016/j.mcm.2009.02.004 – volume: 8 start-page: 108 issue: 1 year: 2020 ident: key2022030312121463700_ref039 article-title: A new Newton method with memory for solving nonlinear equations publication-title: Mathematics doi: 10.3390/math8010108 – volume: 57 start-page: 1950 issue: 7-8 year: 2013 ident: key2022030312121463700_ref012 article-title: Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation publication-title: Mathematical and Computer Modelling doi: 10.1016/j.mcm.2012.01.012 – volume: 318 start-page: 136 year: 2017 ident: key2022030312121463700_ref025 article-title: Some novel and optimal families of King's method with eighth and sixteenth-order of convergence publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2016.11.018 – volume: 10 start-page: 876 issue: 5 year: 1973 ident: key2022030312121463700_ref022 article-title: A family of fourth order methods for nonlinear equations publication-title: SIAM Journal on Numerical Analysis doi: 10.1137/0710072 – volume: 23 start-page: 1455 issue: 8 year: 1986 ident: key2022030312121463700_ref031 article-title: Numerical solution of constrained non-linear algebraic equations publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620230805 – volume: 354 start-page: 271 year: 2019 ident: key2022030312121463700_ref005 article-title: An efficient optimal family of sixteenth order methods for nonlinear models publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2018.02.011 – volume: 14 start-page: 101 issue: 4 year: 2021 ident: key2022030312121463700_ref016 article-title: Chaos and stability in a new iterative family for solving nonlinear equations publication-title: Algorithms doi: 10.3390/a14040101 – volume: 61 start-page: 3278 issue: 11 year: 2011 ident: key2022030312121463700_ref018 article-title: A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function publication-title: Computers and Mathematics with Applications doi: 10.1016/j.camwa.2011.04.006 – volume-title: A Friendly Introduction to Numerical Analysis year: 2006 ident: key2022030312121463700_ref006 – volume: 7 start-page: 1052 issue: 11 year: 2019 ident: key2022030312121463700_ref024 article-title: Higher-order derivative-free iterative methods for solving nonlinear equations and their basins of attraction publication-title: Mathematics doi: 10.3390/math7111052 – volume-title: Numerical Methods for Engineers year: 2010 ident: key2022030312121463700_ref009 – volume-title: Handbook of Means and Their Inequalities year: 2003 ident: key2022030312121463700_ref007 – volume: 252 start-page: 95 year: 2013 ident: key2022030312121463700_ref013 article-title: A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations publication-title: Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2012.03.030 – volume: 49 start-page: 1317 issue: 3 year: 2011 ident: key2022030312121463700_ref028 article-title: Remarks on ‘On a general class of multipoint root-finding methods of high computational efficiency’ publication-title: SIAM Journal on Numerical Analysis doi: 10.1137/100805340
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Title	New derivative-free iterative family having optimal convergence order sixteen and its applications
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