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A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem. (English) Zbl 1242.76363
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:
76W05 Magnetohydrodynamics and electrohydrodynamics
76M22 Spectral methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
Software:
Matlab
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References:
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