Comparison between the heun's and haar wavelet methods for solution differential-algebraic equations (DAEs)
Joint Authors
Qasim, Ahmad F.
Amin, Abd al-Ghafur M.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 6, Issue 3 (31 Dec. 2009), pp.183-196, 14 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2009-12-31
Country of Publication
Iraq
No. of Pages
14
Main Subjects
Abstract AR
في هذا البحث تم حل نظام من المعادلات التفاضلية الجبرية ذات الدليل الواحد عدديا باستخدام طريقة Heun و كذلك طريقة مصفوفات العوامل لموجات Haar القصيرة و بعد مقارنة نتائج الطريقتينمع الحل المضبوط تبين أن طريقة مصفوفات العوامل لمويجة Haar ذات كفاءة عالية و نتائجها العددية أقرب إلى الحل المظبوط Heun، و أن دقة الحل لهذه الطريقة تزداد و الخطأ يتناقص كلما ازدادت عدد نقاط الشبكة أو سعة المصفوفة (m).
Abstract EN
In this paper, We solved the system of differential-algebraic equation (DAEs) of index one numerically with Heun's method and operational matrices of Haar wavelet method, When we compared the results of the two methods with the exact solution, show that the operational matrices of Haar wavelet method is more efficiency and it's numerical results near to the exact solution more than the Heun's method, and the solution accuracy of this method is increasing and the error decreases when the number of mesh points and size of matrices increase.
American Psychological Association (APA)
Amin, Abd al-Ghafur M.& Qasim, Ahmad F.. 2009. Comparison between the heun's and haar wavelet methods for solution differential-algebraic equations (DAEs). al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 6, no. 3, pp.183-196.
https://search.emarefa.net/detail/BIM-331911
Modern Language Association (MLA)
Amin, Abd al-Ghafur M.& Qasim, Ahmad F.. Comparison between the heun's and haar wavelet methods for solution differential-algebraic equations (DAEs). al- Rafidain Journal of Computer Sciences and Mathematics Vol. 6, no. 3 (2009), pp.183-196.
https://search.emarefa.net/detail/BIM-331911
American Medical Association (AMA)
Amin, Abd al-Ghafur M.& Qasim, Ahmad F.. Comparison between the heun's and haar wavelet methods for solution differential-algebraic equations (DAEs). al- Rafidain Journal of Computer Sciences and Mathematics. 2009. Vol. 6, no. 3, pp.183-196.
https://search.emarefa.net/detail/BIM-331911
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 196
Record ID
BIM-331911