The modified differential transform method for solving MHD boundary-layer equations. (English) Zbl 1197.76156

Comput. Phys. Commun. 180, No. 11, 2210-2217 (2009); corrigendum ibid. 212, 285 (2017).
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.


76W05 Magnetohydrodynamics and electrohydrodynamics
Full Text: DOI


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