spectral local linearisation approach for natural convection boundary layer flow

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ID: 209836
2013
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Abstract
The present work introduces a spectral local linearisation method (SLLM) to solve a natural convection boundary layer flow problem with domain transformation. It is customary to find solutions of semi-infinite interval problems by first truncating the interval and subsequently applying a suitable numerical method. However, this gives rise to increased error terms in the numerical solution. Carrying out a transformation of the semi-infinite interval problems into singular problems posed on a finite interval can avoid the domain truncation error and enables the efficient application of collocation methods. The SLLM is based on linearising and decoupling nonlinear systems of equations into a sequence or subsystems of differential equations which are then solved using spectral collocation methods. A comparative study between the SLLM and existing results in the literature was carried out to validate the results. The method has shown to be a promising efficient tool for nonlinear boundary value problems as it gives converging results after very few iterations.
Reference Key
motsa2013mathematicalspectral Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;S. S. Motsa;Z. G. Makukula;S. Shateyi
Journal journal of power sources
Year 2013
DOI
10.1155/2013/765013
URL
http://dx.doi.org/10.1155/2013/765013
Keywords
civil engineering (general)mathematics engineering (general)

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