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...

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Main Authors: Phang, Pei See, Abdul Majid, Zanariah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57304/1/Solving%20boundary%20layer%20problem%20using%20fifth%20order%20block%20method.pdf
http://psasir.upm.edu.my/id/eprint/57304/
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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Conference or Workshop Item
author Phang, Pei See
Abdul Majid, Zanariah
spellingShingle Phang, Pei See
Abdul Majid, Zanariah
Solving boundary layer problem using fifth order block method
author_facet Phang, Pei See
Abdul Majid, Zanariah
author_sort Phang, Pei See
title Solving boundary layer problem using fifth order block method
title_short 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_sort solving boundary layer problem using fifth order block method
publisher AIP Publishing LLC
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/57304/1/Solving%20boundary%20layer%20problem%20using%20fifth%20order%20block%20method.pdf
http://psasir.upm.edu.my/id/eprint/57304/
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score 13.211869