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On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems
Joint Authors
Motsa, Sandile Sydney
Dlamini, P. G.
Khumalo, Melusi
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We introduce two methods based on higher order compact finite differences for solving boundary layer problems.
The methods called compact finite difference relaxation method (CFD-RM) and compact finite difference quasilinearization method (CFD-QLM) are an alternative form of the spectral relaxation method (SRM) and spectral quasilinearization method (SQLM).
The SRM and SQLM are Chebyshev pseudospectral-based methods which have been successfully used to solve boundary layer problems.
The main objective of this paper is to give a comparison of the compact finite difference approach against the pseudo-spectral approach in solving similarity boundary layer problems.
In particular, we seek to identify the most accurate and computationally efficient method for solving systems of boundary layer equations in fluid mechanics.
The results of the two approaches are comparable in terms of accuracy for small systems of equations.
For larger systems of equations, the proposed compact finite difference approaches are more accurate than the spectral-method-based approaches.
American Psychological Association (APA)
Dlamini, P. G.& Motsa, Sandile Sydney& Khumalo, Melusi. 2013. On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1010587
Modern Language Association (MLA)
Dlamini, P. G.…[et al.]. On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-1010587
American Medical Association (AMA)
Dlamini, P. G.& Motsa, Sandile Sydney& Khumalo, Melusi. On the Comparison between Compact Finite Difference and Pseudospectral Approaches for Solving Similarity Boundary Layer Problems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1010587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010587