Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems
Joint Authors
Motsa, Sandile Sydney
Dlamini, P. G.
Khumalo, Melusi
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Nonlinear partial differential equations (PDEs) modelling unsteady boundary-layer flows are solved by the spectral relaxation method (SRM) and the spectral quasilinearization method (SQLM).
The SRM and SQLM are Chebyshev pseudospectral based methods that have been successfully used to solve nonlinear boundary layer flow problems described by systems of ordinary differential equations.
In this paper application of these methods is extended, for the first time, to systems of nonlinear PDEs that model unsteady boundary layer flow.
The new extension is tested on two problems: boundary layer flow caused by an impulsively stretching plate and a coupled four-equation system that models the problem of unsteady MHD flow and mass transfer in a porous space.
Numerous simulation experiments are conducted to determine the accuracy and compare the computational performance of the proposed methods against the popular Keller-box finite difference scheme which is widely accepted as being one of the ideal tools for solving nonlinear PDEs that model boundary layer flow problems.
The results indicate that the methods are more efficient in terms of computational accuracy and speed compared with the Keller-box.
American Psychological Association (APA)
Motsa, Sandile Sydney& Dlamini, P. G.& Khumalo, Melusi. 2014. Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-464286
Modern Language Association (MLA)
Motsa, Sandile Sydney…[et al.]. Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems. Advances in Mathematical Physics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-464286
American Medical Association (AMA)
Motsa, Sandile Sydney& Dlamini, P. G.& Khumalo, Melusi. Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-464286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464286