Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations
المؤلفون المشاركون
Soleimani, Farahnaz
Soleymani, Fazlollah
Shateyi, Stanford
المصدر
Discrete Dynamics in Nature and Society
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-04-21
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
First, we make the Jain's derivative-free method optimal and subsequently increase its efficiency index from 1.442 to 1.587.
Then, a novel three-step computational family of iterative schemes for solving single variable nonlinear equations is given.
The schemes are free from derivative calculation per full iteration.
The optimal family is constructed by applying the weight function approach alongside an approximation for the first derivative of the function in the last step in which the first two steps are the optimized derivative-free form of Jain's method.
The convergence rate of the proposed optimal method and the optimal family is studied.
The efficiency index for each method of the family is 1.682.
The superiority of the proposed contributions is illustrated by solving numerical examples and comparing them with some of the existing methods in the literature.
In the end, we provide the basins of attraction for some methods to observe the beauty of iterative nonlinear solvers in providing fractals and also choose the best method in case of larger attraction basins.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Soleimani, Farahnaz& Soleymani, Fazlollah& Shateyi, Stanford. 2013. Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-461623
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Soleimani, Farahnaz…[et al.]. Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-461623
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Soleimani, Farahnaz& Soleymani, Fazlollah& Shateyi, Stanford. Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-461623
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-461623
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر