On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction

On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction

We use recent innovative solution techniques to investigate the problem of MHD viscous flow due to a shrinking sheet with a chemical reaction. A comparison is made of the convergence rates, ease of use, and expensiveness (the number of iterations required to give convergent results) of three seminum...

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Main Authors: Z. G. Makukula, P. Sibanda, S. S. Motsa, S. Shateyi
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/489217
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spelling doaj-4990a96f32a7491397db9f7872dedec02020-11-25T00:01:28ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/489217489217On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical ReactionZ. G. Makukula0P. Sibanda1S. S. Motsa2S. Shateyi3School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaDepartment of Mathematics and Applied Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaWe use recent innovative solution techniques to investigate the problem of MHD viscous flow due to a shrinking sheet with a chemical reaction. A comparison is made of the convergence rates, ease of use, and expensiveness (the number of iterations required to give convergent results) of three seminumerical techniques in solving systems of nonlinear boundary value problems. The results were validated using a multistep, multimethod approach comprising the use of the shooting method, the Matlab bvp4c numerical routine, and with results in the literature.http://dx.doi.org/10.1155/2011/489217
collection DOAJ
language English
format Article
sources DOAJ
author Z. G. Makukula
P. Sibanda
S. S. Motsa
S. Shateyi
spellingShingle Z. G. Makukula
P. Sibanda
S. S. Motsa
S. Shateyi
On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
Mathematical Problems in Engineering
author_facet Z. G. Makukula
P. Sibanda
S. S. Motsa
S. Shateyi
author_sort Z. G. Makukula
title On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
title_short On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
title_full On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
title_fullStr On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
title_full_unstemmed On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction
title_sort on new numerical techniques for the mhd flow past a shrinking sheet with heat and mass transfer in the presence of a chemical reaction
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description We use recent innovative solution techniques to investigate the problem of MHD viscous flow due to a shrinking sheet with a chemical reaction. A comparison is made of the convergence rates, ease of use, and expensiveness (the number of iterations required to give convergent results) of three seminumerical techniques in solving systems of nonlinear boundary value problems. The results were validated using a multistep, multimethod approach comprising the use of the shooting method, the Matlab bvp4c numerical routine, and with results in the literature.
url http://dx.doi.org/10.1155/2011/489217
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AT psibanda onnewnumericaltechniquesforthemhdflowpastashrinkingsheetwithheatandmasstransferinthepresenceofachemicalreaction
AT ssmotsa onnewnumericaltechniquesforthemhdflowpastashrinkingsheetwithheatandmasstransferinthepresenceofachemicalreaction
AT sshateyi onnewnumericaltechniquesforthemhdflowpastashrinkingsheetwithheatandmasstransferinthepresenceofachemicalreaction
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