کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625896 1631773 2016 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A biparametric extension of King’s fourth-order methods and their dynamics
ترجمه فارسی عنوان
یک فرمت دوطرفه از روش های چهارم پادشاه و دینامیک آنها
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight function dependent on a function-to-function ratio, higher-order convergence is obtained. Through a variety of test equations, numerical experiments strongly support the theory developed in this paper. In addition, relevant dynamics of the proposed methods is successfully explored for a prototype quadratic polynomial as well as parameter spaces and dynamical planes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 282, 5 May 2016, Pages 254–275
نویسندگان
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