On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method
Joint Authors
Sibanda, Precious
Motsa, Sandile S.
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We propose a sequence of highly accurate higher order convergent iterative schemes by embedding the quasilinearization algorithm within a spectral collocation method.
The iterative schemes are simple to use and significantly reduce the time and number of iterations required to find solutions of highly nonlinear boundary value problems to any arbitrary level of accuracy.
The accuracy and convergence properties of the proposed algorithms are tested numerically by solving three Falkner-Skan type boundary layer flow problems and comparing the results to the most accurate results currently available in the literature.
We show, for instance, that precision of up to 29 significant figures can be attained with no more than 5 iterations of each algorithm.
American Psychological Association (APA)
Motsa, Sandile S.& Sibanda, Precious. 2013. On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-505628
Modern Language Association (MLA)
Motsa, Sandile S.& Sibanda, Precious. On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-505628
American Medical Association (AMA)
Motsa, Sandile S.& Sibanda, Precious. On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-505628
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505628