The modified differential transform method for solving MHD boundary-layer equations

A new analytical method (DTM-Pade) 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→∞y→∞. Numerical comparisons between the DTM-Pade 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.

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