Czasopismo
Tytuł artykułu
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Języki publikacji
Abstrakty
In this paper, we present a family of three-point with eight-order convergence methods for finding the simple roots of nonlinear equations by suitable approximations and weight function based on Maheshwari’s method. Per iteration this method requires three evaluations of the function and one evaluation of its first derivative. These class of methods have the efficiency index equal to [...] 814≈1.682${8^{{\textstyle{1 \over 4}}}} \approx 1.682$. We describe the analysis of the proposed methods along with numerical experiments including comparison with the existing methods. Moreover, the attraction basins of the proposed methods are shown with some comparisons to the other existing methods.
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
443-451
Opis fizyczny
Daty
wydano
2016-01-01
otrzymano
2016-01-06
zaakceptowano
2016-05-06
online
2016-07-08
Twórcy
autor
- MEDAlics, Research Centre at the University Dante Alighieri, Reggio Calabria,, somayeh.sharifi@medalics.org
autor
- Department of Law and Economics, University Mediterranea of Reggio Calabria, Italy and CRIOS – Center for Research in Innovation, Organization and Strategy, Department of Management and Technology, Bocconi University, Milano,, massimiliano.ferrara@unirc.it
autor
- MEDAlics, Research Centre at the University Dante Alighieri, Reggio Calabria, E-mail: ,, mehdi.salimi@medalics.org
- Center for Dynamics, Department of Mathematics, Technische Universität Dresden,
autor
- Center for Dynamics, Department of Mathematics, Technische Universität Dresden,, stefan.siegmund@tu-dresden.de
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2016-0041