Solving boundary layer problem using fifth order block method
A fifth order block method of Adam’s type is presented to obtain the numerical solution of the boundary layer problem. The boundary layer problem we handle in this research is nanofluid over a moving surface in a flowing fluid. It is modelled as a system of combination of third order and second orde...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57304/1/Solving%20boundary%20layer%20problem%20using%20fifth%20order%20block%20method.pdf |
| _version_ | 1796976664847056896 |
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| author | Phang, Pei See Abdul Majid, Zanariah |
| author_facet | Phang, Pei See Abdul Majid, Zanariah |
| author_sort | Phang, Pei See |
| collection | UPM |
| description | A fifth order block method of Adam’s type is presented to obtain the numerical solution of the boundary layer problem. The boundary layer problem we handle in this research is nanofluid over a moving surface in a flowing fluid. It is modelled as a system of combination of third order and second order differential equations subject to the two point boundary conditions. The block method will implemented with variable step size strategy and multiple shooting technique to solve this boundary layer problem. Two approximate solutions will obtain simultaneously using the same back value. The boundary layer problem will be solved directly without reducing to the system of first order equations. The numerical results are presented and compared to the existing method. |
| first_indexed | 2024-03-06T09:28:59Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57304 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:59Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-573042017-09-26T04:02:49Z http://psasir.upm.edu.my/id/eprint/57304/ Solving boundary layer problem using fifth order block method Phang, Pei See Abdul Majid, Zanariah A fifth order block method of Adam’s type is presented to obtain the numerical solution of the boundary layer problem. The boundary layer problem we handle in this research is nanofluid over a moving surface in a flowing fluid. It is modelled as a system of combination of third order and second order differential equations subject to the two point boundary conditions. The block method will implemented with variable step size strategy and multiple shooting technique to solve this boundary layer problem. Two approximate solutions will obtain simultaneously using the same back value. The boundary layer problem will be solved directly without reducing to the system of first order equations. The numerical results are presented and compared to the existing method. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57304/1/Solving%20boundary%20layer%20problem%20using%20fifth%20order%20block%20method.pdf Phang, Pei See and Abdul Majid, Zanariah (2014) Solving boundary layer problem using fifth order block method. In: International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014), 22-28 Sept. 2014, Rodos Palace Hotel, Rhodes, Greece. (pp. 1-4). 10.1063/1.4913012 |
| spellingShingle | Phang, Pei See Abdul Majid, Zanariah Solving boundary layer problem using fifth order block method |
| title | Solving boundary layer problem using fifth order block method |
| title_full | Solving boundary layer problem using fifth order block method |
| title_fullStr | Solving boundary layer problem using fifth order block method |
| title_full_unstemmed | Solving boundary layer problem using fifth order block method |
| title_short | Solving boundary layer problem using fifth order block method |
| title_sort | solving boundary layer problem using fifth order block method |
| url | http://psasir.upm.edu.my/id/eprint/57304/1/Solving%20boundary%20layer%20problem%20using%20fifth%20order%20block%20method.pdf |
| work_keys_str_mv | AT phangpeisee solvingboundarylayerproblemusingfifthorderblockmethod AT abdulmajidzanariah solvingboundarylayerproblemusingfifthorderblockmethod |