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Aim of this paper was to appraise the magneto-hydrodynamic boundary layer flow of a Prandtl-Eyring fluid model on the top of stretched sheet. Ancillary to the same, the evolution and process of transfer of heat in the appearance of heat radiation and convective heating are investigated. Then, we solved these phenomena via the method of directly defined inverse mapping (MDDIM) with the approximate analytical solution firstly reported in this paper. We assumed the set of base functions, initial guesses and directly defined inverse mappings for the solution analysis. The present results are compared numerically with those of the Keller-Box method (KBM). We have found that, the velocity generate an upliftment (increase) with an increase in fluid parameter. Moreover, the thermal temperature profile’s adverse and antipodal behaviour can also be seen for access in fluid parameter.

Novel technique MDDIM solutions of MHD flow and radiative Prandtl-Eyring fluid over a stretching sheet with convective heating