Abstract
The Coiflet wavelet solutions are given to the classic cavity flow problem describing natural convection in cavities under the effect of an inclined external magnetic field. The governing partial differential equations are solved by a brand-new and very efficient computational method, namely, the Coiflet wavelet-homotopy method. This approach not only inherits the capability of homotopy analysis to deal with strongly nonlinear problems, but also maintains the orthogonality and high-precision local expression property of the wavelet method. The Coiflet wavelet solutions are obtained via a very efficient homotopy iteration. Rigid comparison with previous studies for a wide range of various physical parameters shows excellent computational efficiency and accuracy of the proposed method.
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