ADM for solving linear second-order fredholm integro- differential equation
In this paper, we apply Adomian Decomposition Method (ADM) as numerically analyse linear second-order Fredholm Integro-differential Equations. The approximate solutions of the problems are calculated by Maple package. Some numerical examples have been considered to illustrate the ADM for solving...
| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2018
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/7059/1/P9985_0aa08ac526751d79b89675c4ce02ab92.pdf |
| _version_ | 1825710305612660736 |
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| author | Karim, Mohd F. Mohamad, Mahathir Rusiman, Mohd Saifullah Che-Him, Norziha Roslan, Rozaini Khalid, Kamil |
| author_facet | Karim, Mohd F. Mohamad, Mahathir Rusiman, Mohd Saifullah Che-Him, Norziha Roslan, Rozaini Khalid, Kamil |
| author_sort | Karim, Mohd F. |
| collection | UTHM |
| description | In this paper, we apply Adomian Decomposition Method (ADM) as numerically
analyse linear second-order Fredholm Integro-differential Equations. The approximate
solutions of the problems are calculated by Maple package. Some numerical examples have
been considered to illustrate the ADM for solving this equation. The results are compared with
the existing exact solution. Thus, the Adomian decomposition method can be the best
alternative method for solving linear second-order Fredholm Integro-Differential equation. It
converges to the exact solution quickly and in the same time reduces computational work for
solving the equation. The result obtained by ADM shows the ability and efficiency for solving
these equations. |
| first_indexed | 2024-03-05T21:55:36Z |
| format | Conference or Workshop Item |
| id | uthm.eprints-7059 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:55:36Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | uthm.eprints-70592022-05-24T01:47:15Z http://eprints.uthm.edu.my/7059/ ADM for solving linear second-order fredholm integro- differential equation Karim, Mohd F. Mohamad, Mahathir Rusiman, Mohd Saifullah Che-Him, Norziha Roslan, Rozaini Khalid, Kamil T Technology (General) In this paper, we apply Adomian Decomposition Method (ADM) as numerically analyse linear second-order Fredholm Integro-differential Equations. The approximate solutions of the problems are calculated by Maple package. Some numerical examples have been considered to illustrate the ADM for solving this equation. The results are compared with the existing exact solution. Thus, the Adomian decomposition method can be the best alternative method for solving linear second-order Fredholm Integro-Differential equation. It converges to the exact solution quickly and in the same time reduces computational work for solving the equation. The result obtained by ADM shows the ability and efficiency for solving these equations. 2018 Conference or Workshop Item PeerReviewed text en http://eprints.uthm.edu.my/7059/1/P9985_0aa08ac526751d79b89675c4ce02ab92.pdf Karim, Mohd F. and Mohamad, Mahathir and Rusiman, Mohd Saifullah and Che-Him, Norziha and Roslan, Rozaini and Khalid, Kamil (2018) ADM for solving linear second-order fredholm integro- differential equation. In: ISMAP 2017, October 28, 2017, Batu Pahat, Johor. https://doi.org/10.1088/1742-6596/995/1/012009 |
| spellingShingle | T Technology (General) Karim, Mohd F. Mohamad, Mahathir Rusiman, Mohd Saifullah Che-Him, Norziha Roslan, Rozaini Khalid, Kamil ADM for solving linear second-order fredholm integro- differential equation |
| title | ADM for solving linear second-order fredholm integro- differential equation |
| title_full | ADM for solving linear second-order fredholm integro- differential equation |
| title_fullStr | ADM for solving linear second-order fredholm integro- differential equation |
| title_full_unstemmed | ADM for solving linear second-order fredholm integro- differential equation |
| title_short | ADM for solving linear second-order fredholm integro- differential equation |
| title_sort | adm for solving linear second order fredholm integro differential equation |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7059/1/P9985_0aa08ac526751d79b89675c4ce02ab92.pdf |
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