Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English English English |
| Published: |
2017
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf |
| _version_ | 1825636535117021184 |
|---|---|
| author | Baharom, Fairuz Bahirah |
| author_facet | Baharom, Fairuz Bahirah |
| author_sort | Baharom, Fairuz Bahirah |
| collection | UTHM |
| description | In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM. |
| first_indexed | 2024-03-05T21:38:15Z |
| format | Thesis |
| id | uthm.eprints-749 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English English English |
| last_indexed | 2024-03-05T21:38:15Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | uthm.eprints-7492021-08-30T07:49:15Z http://eprints.uthm.edu.my/749/ Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method Baharom, Fairuz Bahirah QA299.6-433 Analysis In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM. 2017-01 Thesis NonPeerReviewed text en http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf text en http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf text en http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf Baharom, Fairuz Bahirah (2017) Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method. Masters thesis, Universiti Tun Hussein Onn Malaysia. |
| spellingShingle | QA299.6-433 Analysis Baharom, Fairuz Bahirah Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title | Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title_full | Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title_fullStr | Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title_full_unstemmed | Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title_short | Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| title_sort | solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method |
| topic | QA299.6-433 Analysis |
| url | http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf |
| work_keys_str_mv | AT baharomfairuzbahirah solvingthevolterraintegralformofthelaneemdenequationsbyhomotopyperturbationmethodandadomiandecompostionmethod |