Applied Sumudu Transform with Adomian Decomposition Method to the Coupled Drinfeld–Sokolov–Wilson System | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 11, Volume 15, Issue 2, December 2021, Pages 139-147 PDF (828.28 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2021.170017 | ||
| Authors | ||
| Abdulghafor M. Al-Rozbayani1; Ammar H. Ali2 | ||
| 1Department of Mathematics, College of Computer Science and Mathematics University of Mosul, IRAQ | ||
| 2Directorate of Education in Nineveh, Mosul, IRAQ | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Sumudu transform; Adomian decomposition method; Drinfeld–Sokolov–Wilson | ||
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