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2014 The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations
S. S. Motsa, F. G. Awad, Z. G. Makukula, P. Sibanda
Abstr. Appl. Anal. 2014(SI21): 1-11 (2014). DOI: 10.1155/2014/241594

Abstract

The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations. We solve the nonlinear system of partial differential equations that model the unsteady nonlinear convective flow caused by an impulsively stretching sheet. The numerical results generated using the spectral homotopy analysis method were compared with those found using the spectral quasilinearisation method (SQLM) and the two results were in good agreement.

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S. S. Motsa. F. G. Awad. Z. G. Makukula. P. Sibanda. "The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations." Abstr. Appl. Anal. 2014 (SI21) 1 - 11, 2014. https://doi.org/10.1155/2014/241594

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021981
MathSciNet: MR3206775
Digital Object Identifier: 10.1155/2014/241594

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI21 • 2014
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