A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Motsa, Sandile Sydney. 2013. A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-471023
Modern Language Association (MLA)
Motsa, Sandile Sydney. A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-471023
American Medical Association (AMA)
Motsa, Sandile Sydney. A New Spectral Local Linearization Method for Nonlinear Boundary Layer Flow Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-471023
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471023