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Chebyshev wavelet collocation method for magnetohydrodynamic flow equations

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Abstract

This study proposes Chebyshev wavelet collocation method for partial differential equation and applies to solve magnetohydrodynamic (MHD) flow equations in a rectangular duct in the presence of transverse external oblique magnetic field. Approximate solutions of velocity and induced magnetic field are obtained for steady‐state, fully developed, incompressible flow for a conducting fluid inside the duct. Numerical results of the MHD flow problem show that the accuracy of proposed method is quite good even in the case of a small number of grid points. The results for velocity and induced magnetic field are visualized in terms of graphics for values of Hartmann number Ha ≤ 1000.

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Authors and Affiliations

  1. Institute of Science, Pamukkale University, Denizli, Turkey

    Aslı Sultan Karataş

  2. Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, Denizli, 20100, Turkey

    İbrahim Çelik

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  1. Aslı Sultan Karataş
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  2. İbrahim Çelik
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Correspondence to İbrahim Çelik.

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Karataş, A.S., Çelik, İ. Chebyshev wavelet collocation method for magnetohydrodynamic flow equations. Engineering with Computers 38 (Suppl 3), 2175–2187 (2022). https://doi.org/10.1007/s00366-020-01251-0

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  • DOI: https://doi.org/10.1007/s00366-020-01251-0

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