Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)

Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)

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...

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Main Authors: Abdulghafor Al-Rozbayani, Ahmed Qasem
Format: Article
Language:Arabic
Published: Mosul University 2009-09-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
differential-algebraic equation
heun's method
haar wavelet method
Online Access:https://csmj.mosuljournals.com/article_163832_13d189fc4807c59e522c5141a3bf7a69.pdf
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spelling doaj-7f4c5a4d48bc468c92a0e9e1f2de05822020-11-25T03:59:53ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902009-09-016318319610.33899/csmj.2009.163832163832Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)Abdulghafor Al-Rozbayani0Ahmed Qasem1Faculty of Science, University of Zakho, IraqCollege of Computer Sciences and Mathematics, University of Mosul, IraqIn 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.https://csmj.mosuljournals.com/article_163832_13d189fc4807c59e522c5141a3bf7a69.pdfdifferential-algebraic equationheun's methodhaar wavelet method
collection DOAJ
language Arabic
format Article
sources DOAJ
author Abdulghafor Al-Rozbayani
Ahmed Qasem
spellingShingle Abdulghafor Al-Rozbayani
Ahmed Qasem
Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
Al-Rafidain Journal of Computer Sciences and Mathematics
differential-algebraic equation
heun's method
haar wavelet method
author_facet Abdulghafor Al-Rozbayani
Ahmed Qasem
author_sort Abdulghafor Al-Rozbayani
title Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
title_short Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
title_full Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
title_fullStr Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
title_full_unstemmed Comparison between the Heun's and Haar Wavelet Methods for solution Differential-Algebraic Equations (DAEs)
title_sort comparison between the heun's and haar wavelet methods for solution differential-algebraic equations (daes)
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2009-09-01
description 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.
topic differential-algebraic equation
heun's method
haar wavelet method
url https://csmj.mosuljournals.com/article_163832_13d189fc4807c59e522c5141a3bf7a69.pdf
work_keys_str_mv AT abdulghaforalrozbayani comparisonbetweentheheunsandhaarwaveletmethodsforsolutiondifferentialalgebraicequationsdaes
AT ahmedqasem comparisonbetweentheheunsandhaarwaveletmethodsforsolutiondifferentialalgebraicequationsdaes
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