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Zbl 1242.76363
Motsa, S.S.; Sibanda, P.; Awad, F.G.; Shateyi, S.
A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem. (English)
[J] Comput. Fluids 39, No. 7, 1219-1225 (2010). ISSN 0045-7930

Summary: In this paper a novel hybrid spectral-homotopy analysis technique and the homotopy analysis method (HAM) are compared through the solution of the nonlinear equation for the MHD Jeffery-Hamel problem. An analytical solution is obtained using the homotopy analysis method (HAM) and compared with the numerical results and those obtained using the new hybrid method. The results show that the spectral-homotopy analysis technique converges at least twice as fast as the standard homotopy analysis method.

MSC 2000:: *76W05 Flows in presence of electromagnetic forces
76M22 Spectral methods
76M25 Other numerical methods

Keywords: Jeffery-Hamel flow; magnetohydrodynamics; spectral-homotopy analysis method; nonlinear equations

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Zentralblatt MATH Berlin [Germany]