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Solution of non-linear equations using bisection method by new technical method
المؤلفون المشاركون
Abd al-Rahman, Abd al-Radi Abd al-Rahman Abd al-Qadir
Uthman, Subhi Abd al-Azim al-Jili
Muhammad, Adam Uthman Ali
Ali, Abu al-Izz al-Amin Ahmad
المصدر
The Arab Journal of Educational and Psychological Sciences
العدد
المجلد 6، العدد 26 (s) (28 فبراير/شباط 2022)، ص ص. 261-274، 14ص.
الناشر
المؤسسة العربية للتربية و العلوم و الآداب
تاريخ النشر
2022-02-28
دولة النشر
مصر
عدد الصفحات
14
التخصصات الرئيسية
الموضوعات
الملخص EN
Numerical approximation of the root-finding problem its important tool for process involves finding a root, or solution of nonlinear equation of the form f (x) = 0, for a given function f.
a root of this equation is also called a zero of the function when we implementing the method on a computer we need to consider the effects of round-off error.
for example the computation of the midpoint of the interval ]an, bn[ should be found from the equation .
the bisection method is used to determine to any specified accuracy that your computer will permit a solution to f (x) = 0 on an interval ]a, b[, provided that f is continuous on the interval and that f (a) and f (b) are of opposite sign.
although the method will work for the case when more than one root is contained in the interval ]a, b[, we assume for simplicity of our discussion that the root in this interval is unique.
the method stops if one of the midpoints happens to coincide with the root.
it also stops when the length of the search interval is less than some prescribed tolerance.
the having method is characterized by the fact that it always includes convergence of the individual islands.
it is also characterized by the case of calculating errors, but one of its disadvantages is that it is slow to converge to reach the solution.
to compare with the a new technical method of the solution .
we followed applied numerical method using a new technical method in computer and we found that the new technical method of solution is much faster and more accurate.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Uthman, Subhi Abd al-Azim al-Jili& Abd al-Rahman, Abd al-Radi Abd al-Rahman Abd al-Qadir& Muhammad, Adam Uthman Ali& Ali, Abu al-Izz al-Amin Ahmad. 2022. Solution of non-linear equations using bisection method by new technical method. The Arab Journal of Educational and Psychological Sciences،Vol. 6, no. 26 (s), pp.261-274.
https://search.emarefa.net/detail/BIM-1333024
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Uthman, Subhi Abd al-Azim al-Jili…[et al.]. Solution of non-linear equations using bisection method by new technical method. The Arab Journal of Educational and Psychological Sciences Vol. 6, no. 26 (Special issue) (Feb. 2022), pp.261-274.
https://search.emarefa.net/detail/BIM-1333024
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Uthman, Subhi Abd al-Azim al-Jili& Abd al-Rahman, Abd al-Radi Abd al-Rahman Abd al-Qadir& Muhammad, Adam Uthman Ali& Ali, Abu al-Izz al-Amin Ahmad. Solution of non-linear equations using bisection method by new technical method. The Arab Journal of Educational and Psychological Sciences. 2022. Vol. 6, no. 26 (s), pp.261-274.
https://search.emarefa.net/detail/BIM-1333024
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references : p. 274
رقم السجل
BIM-1333024
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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