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

Mathematics

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