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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| Format: | Article |
| Language: | English |
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Mosul University
2009-09-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_163832_13d189fc4807c59e522c5141a3bf7a69.pdf |
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| _version_ | 1850274224700129280 |
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| author | Abdulghafor Al-Rozbayani Ahmed Qasem |
| author_facet | Abdulghafor Al-Rozbayani Ahmed Qasem |
| author_sort | Abdulghafor Al-Rozbayani |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-7f4c5a4d48bc468c92a0e9e1f2de0582 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2009-09-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-7f4c5a4d48bc468c92a0e9e1f2de05822025-08-20T01:51:12ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902009-09-016318319610.33899/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 |
| 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 |
| title | 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_short | 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 |
| 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 |