Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2011, Article ID 489217, 19 pages doi:10.1155/2011/489217 Research Article On New Numerical Techniques for the MHD Flow Past a Shrinking Sheet with Heat and Mass Transfer in the Presence of a Chemical Reaction Z. G. Makukula, 1 P. Sibanda, 1 S. S. Motsa, 1 and S. Shateyi 2 1 School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa 2 Department of Mathematics and Applied Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa Correspondence should be addressed to S. Shateyi, stanford.shateyi@univen.ac.za Received 29 July 2011; Revised 22 August 2011; Accepted 23 August 2011 Academic Editor: Oleg V. Gendelman Copyright q 2011 Z. G. Makukula et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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. 1. Introduction Boundary layer flow over a stretching surface occurs in several engineering processes such as hot rolling, wire drawing, and glass-fibre production. Materials that are manufactured by extrusion processes and heat-treated substances proceeding between a feed roll and a wind- up roll can be classified as a continuously stretching surface 1–3. A shrinking film is useful in the packaging of bulk products since it can be unwrapped easily with adequate heat 4–7. Shrinking problems can also be applied to the study of capillary effects in small pores and the hydraulic properties of agricultural clay soils 8. Studies of flow due to a shrinking sheet with heat transfer and/or mass transfer have been considered by, among others, 7, 9. In recent years, several analytical or semianalytical methods have been proposed and used to find solutions to most nonlinear equations. These methods include the Adomian decomposition method ADM10, 11, differential transform method DTM12,