a note on "a sixth order method for solving nonlinear equations"

نویسندگان

paria assari

orcid id islamic azad university, hamedan branch iran, islamic republic of taher lotfi

islamic azad university, hamedan branch iran, islamic republic of

چکیده

in this study, we modify an iterative non-optimal without memory method, in such a way that is becomes optimal. therefore, we obtain convergence order eight with the some functional evaluations. to justify our proposed method, some numerical examples are given.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A NOTE ON "A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS"

In this study, we modify an iterative non-optimal without memory method, in such a way that is becomes optimal. Therefore, we obtain convergence order eight with the some functional evaluations. To justify our proposed method, some numerical examples are given.  

متن کامل

A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new ...

متن کامل

a sixth order method for solving nonlinear equations

in this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. periteration this method requires three evaluations of the function and one evaluation of its first derivative. a general error analysis providing the eighth order of convergence is given. several numerical examples are given to illustrate the efficiency and performance of the new ...

متن کامل

A Sixth Order Method for Solving Nonlinear Equations

In this paper, we present a new iterative method with order of convergence sixth for solving nonlinear equations. This method is developed by extending a fourth order method of Ostrowski. Per iteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the sixth order of convergence is given. Several numerical ex...

متن کامل

A Novel and Precise Sixth-Order Method for Solving Nonlinear Equations

This study presents a novel and robust three-step sixthorder iterative scheme for solving nonlinear equations. The contributed without memory method includes two evaluations of the function and two evaluations of the first derivative per iteration which implies 1.565 as its efficiency index. Its theoretical proof is furnished to show the error equation. The most important merits of the novel me...

متن کامل

A Modified Newton-Type Method with Sixth-Order Convergence for Solving Nonlinear Equations

In this paper, we present and analyze a sixth-order convergent method for solving nonlinear equations. The method is free from second derivatives and permits f'(x)=0 in some points. It requires three evaluations of the given function and two evaluations of its derivative in each step. Some numerical examples illustrate that the presented method is more efficient and performs better than classic...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
international journal of mathematical modelling and computations

جلد ۵، شماره ۳ (SUMMER)، صفحات ۲۴۵-۲۴۹

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023