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The modified differential transform method for solving MHD boundary-layer equations. (English) Zbl 1197.76156
Summary: A new analytical method (DTM-Padé) was developed for solving magnetohydrodynamic boundary-layer equations. It was shown that differential transform method (DTM) solutions are only valid for small values of independent variable. Therefore the DTM is not applicable for solving MHD boundary-layer equations, because in the boundary-layer problem $y\rightarrow \infty $. Numerical comparisons between the DTM-Padé and numerical methods (by using a fourth-order Runge-Kutta and shooting method) revealed that the new technique is a powerful method for solving MHD boundary-layer equations.

76W05Magnetohydrodynamics and electrohydrodynamics
Full Text: DOI
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