Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow
Joint Authors
Makukula, Z. G.
Shateyi, Stanford
Motsa, Sandile Sydney
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-04
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The present work introduces a spectral local linearisation method (SLLM) to solve a natural convection boundary layer flow problem with domain transformation.
It is customary to find solutions of semi-infinite interval problems by first truncating the interval and subsequently applying a suitable numerical method.
However, this gives rise to increased error terms in the numerical solution.
Carrying out a transformation of the semi-infinite interval problems into singular problems posed on a finite interval can avoid the domain truncation error and enables the efficient application of collocation methods.
The SLLM is based on linearising and decoupling nonlinear systems of equations into a sequence or subsystems of differential equations which are then solved using spectral collocation methods.
A comparative study between the SLLM and existing results in the literature was carried out to validate the results.
The method has shown to be a promising efficient tool for nonlinear boundary value problems as it gives converging results after very few iterations.
American Psychological Association (APA)
Motsa, Sandile Sydney& Makukula, Z. G.& Shateyi, Stanford. 2013. Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010689
Modern Language Association (MLA)
Motsa, Sandile Sydney…[et al.]. Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010689
American Medical Association (AMA)
Motsa, Sandile Sydney& Makukula, Z. G.& Shateyi, Stanford. Spectral Local Linearisation Approach for Natural Convection Boundary Layer Flow. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010689
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010689