کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902213 1631961 2018 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A family of higher order iterations free from second derivative for nonlinear equations in R
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A family of higher order iterations free from second derivative for nonlinear equations in R
چکیده انگلیسی
The aim of this article is to develop a family of higher order iterations free from second derivative for solving nonlinear equations in R. Their theoretical, computational and dynamical aspects are fully investigated and theorems are established to provide their order of convergence and asymptotic error constant. It is observed that the family includes sixth order methods and for a particular case its eighth order can be achieved. In this family, methods use three functions and one first derivative evaluations. The family of methods can be shown to be optimal by using Kung-Traub conjecture. A number of numerical examples are worked out to demonstrate the applicability of these methods. The improved results are obtained in comparison to some of the existing robust methods on the considered test examples. Local convergence analysis and dynamical study of the proposed family of methods are also carried out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 330, 1 March 2018, Pages 676-694
نویسندگان
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