On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method
The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming. By breaking down the source term function into series, the current work introduced a new decomposition approach to the Adomian decomposition m...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Universitas Negeri Gorontalo
2023-08-01
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| Series: | Jambura Journal of Mathematics |
| Subjects: | |
| Online Access: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/19029 |
| _version_ | 1797712018330877952 |
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| author | Kabiru Oyeleye Kareem Morufu Olayiwola Oladapo Asimiyu Yunus Akeem Kamilu Adedokun Ismail Alaje |
| author_facet | Kabiru Oyeleye Kareem Morufu Olayiwola Oladapo Asimiyu Yunus Akeem Kamilu Adedokun Ismail Alaje |
| author_sort | Kabiru Oyeleye Kareem |
| collection | DOAJ |
| description | The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming. By breaking down the source term function into series, the current work introduced a new decomposition approach to the Adomian decomposition method. As compared to the conventional Adomian decomposition approach, the newly devised method hastens the convergence of the solution. Numerical experiments were provided to show the superiority qualities. |
| first_indexed | 2024-03-12T07:15:36Z |
| format | Article |
| id | doaj.art-ba19d13ba32545088e35ef7e07a4e384 |
| institution | Directory Open Access Journal |
| issn | 2654-5616 2656-1344 |
| language | English |
| last_indexed | 2024-03-12T07:15:36Z |
| publishDate | 2023-08-01 |
| publisher | Department of Mathematics, Universitas Negeri Gorontalo |
| record_format | Article |
| series | Jambura Journal of Mathematics |
| spelling | doaj.art-ba19d13ba32545088e35ef7e07a4e3842023-09-02T22:52:57ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442023-08-015226527710.34312/jjom.v5i2.190296252On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition MethodKabiru Oyeleye Kareem0Morufu Olayiwola1Oladapo Asimiyu2Yunus Akeem3Kamilu Adedokun4Ismail Alaje5Osun State University, OsogboOsun State University, OsogboOsun State University, OsogboOsun State University, OsogboOsun State University, OsogboOsun State University, OsogboThe Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming. By breaking down the source term function into series, the current work introduced a new decomposition approach to the Adomian decomposition method. As compared to the conventional Adomian decomposition approach, the newly devised method hastens the convergence of the solution. Numerical experiments were provided to show the superiority qualities.https://ejurnal.ung.ac.id/index.php/jjom/article/view/19029infinite seriessource termconvergencedecomposition methods |
| spellingShingle | Kabiru Oyeleye Kareem Morufu Olayiwola Oladapo Asimiyu Yunus Akeem Kamilu Adedokun Ismail Alaje On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method Jambura Journal of Mathematics infinite series source term convergence decomposition methods |
| title | On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method |
| title_full | On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method |
| title_fullStr | On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method |
| title_full_unstemmed | On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method |
| title_short | On the Solution of Volterra Integro-differential Equations using a Modified Adomian Decomposition Method |
| title_sort | on the solution of volterra integro differential equations using a modified adomian decomposition method |
| topic | infinite series source term convergence decomposition methods |
| url | https://ejurnal.ung.ac.id/index.php/jjom/article/view/19029 |
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