The Spectral Homotopy Analysis Method Extended to Systems of Partial Differential Equations

Autor: S. S. Motsa, F. G. Awad, Z. G. Makukula, P. Sibanda
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2014/241594
Popis: 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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