On Extending the Quasilinearization Method to Higher Order Convergent Hybrid Schemes Using the Spectral Homotopy Analysis Method
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 high...
Main Authors: | Sandile S. Motsa, Precious Sibanda |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/879195 |
Similar Items
-
An improved spectral homotopy analysis method for solving boundary layer problems
by: Sibanda Precious, et al.
Published: (2011-01-01) -
The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations
by: S. S. Motsa, et al.
Published: (2014-01-01) -
A Note on Improved Homotopy Analysis Method for Solving the Jeffery-Hamel Flow
by: Sandile Sydney Motsa, et al.
Published: (2010-01-01) -
Spectral Homotopy Analysis Method for PDEs That Model the Unsteady Von Kàrmàn Swirling Flow
by: Zodwa Makukula, et al.
Published: (2014-01-01) -
A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations
by: S. S. Motsa, et al.
Published: (2014-01-01)