A Spectral Relaxation Approach for Unsteady Boundary-Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet. (28th April 2014)

• Record Type: Journal Article
• Authors: Motsa, S. S.; Sibanda, P.; Ngnotchouye, J. M.; Marewo, G. T.
• Other Names: Moitsheki Raseelo Joel Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-04-28
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/564942
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : This paper introduces two novel numerical algorithms for the efficient solution of coupled systems of nonlinear boundary value problems. The methods are benchmarked against existing methods by finding dual solutions of the highly nonlinear system of equations that model the flow of a viscoelastic liquid of Oldroyd-B type in a channel of infinite extent. The methods discussed here are the spectral relaxation method and spectral quasi-linearisation method. To verify the accuracy and efficiency of the proposed methods a comparative evaluation of the performance of the methods against established numerical techniques is given.