New iterative method for solving nonlinear equations

Other Title(s)

طريقة تكرارية جديدة لحل معادلات لاخطية

Author

Mitlif, Rasha Jalal

Source

Baghdad Science Journal

Issue

Vol. 11, Issue 4 (31 Dec. 2014), pp.1649-1654, 6 p.

Publisher

University of Baghdad College of Science for Women

Publication Date

2014-12-31

Country of Publication

Iraq

No. of Pages

6

Main Subjects

Mathematics

Abstract AR

الهدف من هذا البحث هو اقتراح طريقة تكرارية كفؤة ذات ثلاث خطوات لإيجاد الجذور للمعادلة اللاخطية f (x) = 0 باختيار قيمة بدائية ملائمة لـ χo، يكون الاقتراب للجذر مضمون بهذه الطريقة.أعطيت بعض الأمثلة لتوضيح كفاءة الطريقة المقترحة الجديدة و قورنت مع طريقة Halleys method.

Abstract EN

The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f (x) = 0.

Starting with a suitably chosen, the method generates a sequence of iterates converging to the root.

The convergence analysis is proved to establish its five order of convergence.

Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods.

American Psychological Association (APA)

Mitlif, Rasha Jalal. 2014. New iterative method for solving nonlinear equations. Baghdad Science Journal،Vol. 11, no. 4, pp.1649-1654.
https://search.emarefa.net/detail/BIM-516099

Modern Language Association (MLA)

Mitlif, Rasha Jalal. New iterative method for solving nonlinear equations. Baghdad Science Journal Vol. 11, no. 4 (2014), pp.1649-1654.
https://search.emarefa.net/detail/BIM-516099

American Medical Association (AMA)

Mitlif, Rasha Jalal. New iterative method for solving nonlinear equations. Baghdad Science Journal. 2014. Vol. 11, no. 4, pp.1649-1654.
https://search.emarefa.net/detail/BIM-516099

Data Type

Journal Articles

Language

English

Notes

Text in English ; abstracts in English and Arabic.

Record ID

BIM-516099