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Solving boundary layer problem using fifth order block method


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).


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.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4913012
Publisher: AIP Publishing LLC
Keywords: Boundary layer problem; Fifth-order block method; Multiple shooting techniques
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:02
Last Modified: 26 Sep 2017 04:02
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4913012
URI: http://psasir.upm.edu.my/id/eprint/57304
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