An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach
An efficient modification and a novel technique combining the homotopy concept with Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced in this paper . Both methods are very efficient and effective. The...
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University of Baghdad, College of Science for Women
2022-08-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5752 |
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| author | Khalid Hammood AL-Jizani Jawad Kadhim K. Al-Delfi |
| author_facet | Khalid Hammood AL-Jizani Jawad Kadhim K. Al-Delfi |
| author_sort | Khalid Hammood AL-Jizani |
| collection | DOAJ |
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An efficient modification and a novel technique combining the homotopy concept with Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced in this paper . Both methods are very efficient and effective. The whole integral part of ADM is used instead of the integral part of homotopy technique. The major feature in current technique gives us a large convergence region of iterative approximate solutions .The results acquired by this technique give better approximations for a larger region as well as previously. Finally, the results conducted via suggesting an efficient and easy technique, and may be addressed to other non-linear problems.
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| format | Article |
| id | doaj-art-9d60cded3068430da0baaf534cfd2029 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2022-08-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-9d60cded3068430da0baaf534cfd20292025-08-20T02:51:31ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862022-08-0119410.21123/bsj.2022.19.4.0800An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian ApproachKhalid Hammood AL-Jizani0Jawad Kadhim K. Al-Delfi1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq. An efficient modification and a novel technique combining the homotopy concept with Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced in this paper . Both methods are very efficient and effective. The whole integral part of ADM is used instead of the integral part of homotopy technique. The major feature in current technique gives us a large convergence region of iterative approximate solutions .The results acquired by this technique give better approximations for a larger region as well as previously. Finally, the results conducted via suggesting an efficient and easy technique, and may be addressed to other non-linear problems. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5752ADM, Homotopy analysis method, RMDDE |
| spellingShingle | Khalid Hammood AL-Jizani Jawad Kadhim K. Al-Delfi An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach مجلة بغداد للعلوم ADM, Homotopy analysis method, RMDDE |
| title | An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach |
| title_full | An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach |
| title_fullStr | An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach |
| title_full_unstemmed | An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach |
| title_short | An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach |
| title_sort | analytic solution for riccati matrix delay differential equation using coupled homotopy adomian approach |
| topic | ADM, Homotopy analysis method, RMDDE |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5752 |
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