Open Access
2013 A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems
S. S. Motsa
J. Appl. Math. 2013: 1-15 (2013). DOI: 10.1155/2013/423628


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.


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S. S. Motsa. "A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems." J. Appl. Math. 2013 1 - 15, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950666
MathSciNet: MR3103043
Digital Object Identifier: 10.1155/2013/423628

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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