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A new newton-wavelet algorithm to solve non-linear equations
Joint Authors
Ibrahim, Qays I.
Abd Allah, Riyad M.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 3, Issue 1 (30 Jun. 2006), pp.95-109, 15 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2006-06-30
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract AR
في هذا البحث تم تطوير خوارزمية جديدة لحل المعادلات غير الخطية (0 = f (x)) الخوارزمية الجديدة سميت (Newton-wavelet) و التي هي عبارة عن دمج بين طريقة نيوتن و طريقة الموجة القصيرة.
تم تطبيق هذه الخوارزمية على سبعة أمثلة و قورنت نتائجها مع طريقة Brovden وقد أثبتت كفاءة جيدة في الحل.
من أهم مميزات خوارزمية (Newton-wavelet) أنها تعمل على تقليل عدد التكرارات (iterations) مما يؤدي إلى اختزال الوقت اللازم لحل المعادلات المستخدمة.
تعتبر هذه الخوارزمية تقنية جديدة حيث تم الدمج بين موضوعي التحليل العددي (استخدام طريقة نيوتن) و معالجة الصور و كبس البيانات (استخدام الموجه القصيرة) و الغاية الأساسية هي السرعة في إيجاد الحل.
Abstract EN
In this research, a new algorithm to solve the non-linear equations (f(x) = 0) was developed.
The new method was called Newton–Wavelet which can be defined as a mix between two methods, Newton and wavelet.
By applying this algorithm on seven examples and compared the result with the Broyden method it has shown a good efficiency.
The new method shows that it can decrease the number of iterations and then decrease the time needed to solve the used equations.
This algorithms considered a new technique of mixes between two subjects the first one is a numerical analysis (by using Newton method) and the second is an image processing and data compression (by using Wavelet analysis), the basic aim of this research is decrease the time of solution.
American Psychological Association (APA)
Ibrahim, Qays I.& Abd Allah, Riyad M.. 2006. A new newton-wavelet algorithm to solve non-linear equations. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 3, no. 1, pp.95-109.
https://search.emarefa.net/detail/BIM-348929
Modern Language Association (MLA)
Ibrahim, Qays I.& Abd Allah, Riyad M.. A new newton-wavelet algorithm to solve non-linear equations. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 3, no. 1 (2006), pp.95-109.
https://search.emarefa.net/detail/BIM-348929
American Medical Association (AMA)
Ibrahim, Qays I.& Abd Allah, Riyad M.. A new newton-wavelet algorithm to solve non-linear equations. al- Rafidain Journal of Computer Sciences and Mathematics. 2006. Vol. 3, no. 1, pp.95-109.
https://search.emarefa.net/detail/BIM-348929
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 109
Record ID
BIM-348929