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In this article, the magnetohydrodynamic (MHD) of Jeffery-Hamel flow (JHF) of viscoelastic fluid in converging/diverging channels is investigated, the viscoelastic fluids and when the stationary rigid nonparallel plates are permitted to stretch (shrink) are taken into account. The solution of the flow model is solved numerically by using the Runge–Kutta-Fehlberg 4th–5th order method (RKF-45) based on shooting technique and analytically by the Duan-Rach modified Adomian decomposition method (DRMA). It is found that the incrementation of Reynolds numberand channel-half anglein convergent flow leads to an increase of velocity distribution and means that backflow is excluded; however, a reversal behaviour is observed in diverging flow. The skin friction coefficient decreases with the increase of both of theand, while it increases with the augment of the Hartman number. The present results were compared to justify the efficiency and the higher accuracy of the used DRMA.

New modified decomposition method (DRMA) for solving MHD viscoelastic fluid flow: comparative study