A New Newton-Wavelet Algorithm to Solve Non-Linear Equations
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
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Mosul University
2006-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164039_2229764934e4ee906917b4261546b22b.pdf |
| _version_ | 1818381789432905728 |
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| author | Kais Ibraheem Riyad Abdullah |
| author_facet | Kais Ibraheem Riyad Abdullah |
| author_sort | Kais Ibraheem |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T02:40:09Z |
| format | Article |
| id | doaj.art-0f94a09015364c49adb79415faab575b |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-12-14T02:40:09Z |
| publishDate | 2006-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-0f94a09015364c49adb79415faab575b2022-12-21T23:20:02ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902006-07-01319510910.33899/csmj.2006.164039164039A New Newton-Wavelet Algorithm to Solve Non-Linear EquationsKais Ibraheem0Riyad Abdullah1College of Education University of Mosul, IraqCollege of Education University of Mosul, IraqIn 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.https://csmj.mosuljournals.com/article_164039_2229764934e4ee906917b4261546b22b.pdfnewton methodbroyden methodwavelet method |
| spellingShingle | Kais Ibraheem Riyad Abdullah A New Newton-Wavelet Algorithm to Solve Non-Linear Equations Al-Rafidain Journal of Computer Sciences and Mathematics newton method broyden method wavelet method |
| title | A New Newton-Wavelet Algorithm to Solve Non-Linear Equations |
| title_full | A New Newton-Wavelet Algorithm to Solve Non-Linear Equations |
| title_fullStr | A New Newton-Wavelet Algorithm to Solve Non-Linear Equations |
| title_full_unstemmed | A New Newton-Wavelet Algorithm to Solve Non-Linear Equations |
| title_short | A New Newton-Wavelet Algorithm to Solve Non-Linear Equations |
| title_sort | new newton wavelet algorithm to solve non linear equations |
| topic | newton method broyden method wavelet method |
| url | https://csmj.mosuljournals.com/article_164039_2229764934e4ee906917b4261546b22b.pdf |
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