Open Access
Translator Disclaimer
2013 On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method
Sandile S. Motsa, Precious Sibanda
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/879195

Abstract

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.

Citation

Download Citation

Sandile S. Motsa. Precious Sibanda. "On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/879195

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1268.65096
MathSciNet: MR3045433
Digital Object Identifier: 10.1155/2013/879195

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.2013 • 2013
Back to Top