Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System
In this paper, we studied and applied a modern numerical method, which is combining Sumudu transform with Adomian decomposition Method to obtain approximate solutions of the nonlinear the Coupled Drinfeld– Sokolov–Wilson (DSW) system. Positive and negative values of the variable...
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| Format: | Article |
| Language: | English |
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Mosul University
2021-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.uomosul.edu.iq/article_170017_fcd6b407a261b4c88a36ca2f0bb087f3.pdf |
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| author | Abdulghafor Al-Rozbayani Ammar Ali |
| author_facet | Abdulghafor Al-Rozbayani Ammar Ali |
| author_sort | Abdulghafor Al-Rozbayani |
| collection | DOAJ |
| description | In this paper, we studied and applied a modern numerical method, which is combining Sumudu transform with Adomian decomposition Method to obtain approximate solutions of the nonlinear the Coupled Drinfeld– Sokolov–Wilson (DSW) system. Positive and negative values of the variable x and various values of the variable t were taken with the initial conditions of the system as well as the values of the parameters . The efficiency of the method was verified, as the results obtained were compared with the accurate solution of the system. We noticed that the results are very accurate and the effectiveness of the method was confirmed. |
| format | Article |
| id | doaj-art-216757c076a34ccbb86f093ce93f084a |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-216757c076a34ccbb86f093ce93f084a2025-08-20T03:17:54ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902021-12-0115213914710.33899/csmj.2021.170017170017Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson SystemAbdulghafor Al-Rozbayani0Ammar Ali1Department of Mathematics, College of Computer Science and Mathematics University of Mosul, IRAQDirectorate of Education in Nineveh, Mosul, IRAQIn this paper, we studied and applied a modern numerical method, which is combining Sumudu transform with Adomian decomposition Method to obtain approximate solutions of the nonlinear the Coupled Drinfeld– Sokolov–Wilson (DSW) system. Positive and negative values of the variable x and various values of the variable t were taken with the initial conditions of the system as well as the values of the parameters . The efficiency of the method was verified, as the results obtained were compared with the accurate solution of the system. We noticed that the results are very accurate and the effectiveness of the method was confirmed.https://csmj.uomosul.edu.iq/article_170017_fcd6b407a261b4c88a36ca2f0bb087f3.pdfsumudu transformadomian decomposition methoddrinfeld–sokolov–wilson |
| spellingShingle | Abdulghafor Al-Rozbayani Ammar Ali Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System Al-Rafidain Journal of Computer Sciences and Mathematics sumudu transform adomian decomposition method drinfeld–sokolov–wilson |
| title | Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System |
| title_full | Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System |
| title_fullStr | Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System |
| title_full_unstemmed | Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System |
| title_short | Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System |
| title_sort | applied sumudu transform with adomian decomposition method to the coupled drinfeld sokolov wilson system |
| topic | sumudu transform adomian decomposition method drinfeld–sokolov–wilson |
| url | https://csmj.uomosul.edu.iq/article_170017_fcd6b407a261b4c88a36ca2f0bb087f3.pdf |
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