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

Rashidi, M. M.

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.

MSC:

76W05

Magnetohydrodynamics and electrohydrodynamics

Keywords:

DTM-Padé; MHD; boundary-layer

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