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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
A new spectral local linearization method for nonlinear boundary layer flow problems
Journal of Applied Mathematics, Volume 2013, Article 423628, Year 2013
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Description
We propose a simple and efficient method for solving highly nonlinear systems of boundary layer flow problems with exponentially decaying profiles. The algorithm of the proposed method is based on an innovative idea of linearizing and decoupling the governing systems of equations and reducing them into a sequence of subsystems of differential equations which are solved using spectral collocation methods. The applicability of the proposed method, hereinafter referred to as the spectral local linearization method (SLLM), is tested on some well-known boundary layer flow equations. The numerical results presented in this investigation indicate that the proposed method, despite being easy to develop and numerically implement, is very robust in that it converges rapidly to yield accurate results and is more efficient in solving very large systems of nonlinear boundary value problems of the similarity variable boundary layer type. The accuracy and numerical stability of the SLLM can further be improved by using successive overrelaxation techniques. © 2013 S. S. Motsa.
Authors & Co-Authors
Motsa, Sandile Sydney
South Africa, Durban
University of Kwazulu-natal
Statistics
Citations: 120
Authors: 1
Affiliations: 1
Identifiers
Doi:
10.1155/2013/423628
ISSN:
1110757X
e-ISSN:
16870042