In this study, a new analytical method (DTM-Padé) and the numerical method
(by using a fourth-order Runge–Kutta and shooting method) were compared to solve
convective heat transfer for a micropolar fluid in the presence of uniform magnetic
field. It was shown that the differential transform method (DTM) solutions are only
valid for small values of independent variables; therefore the DTM is not applicable
for solving magnetohydrodynamic (MHD) boundary-layer equations. The new
method (DTM-Padé) has removed this problem. Numerical comparisons between the
DTM-Padé and the numerical method revealed that the new method is a powerful
method for solving MHD boundary-layer equations. Finally, the analytical and numerical
solutions of the problem for different values of the dimensionless parameters
are shown simultaneously.
