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The present study investigates the heat transfer in an electrically conducting Oldroyd-B fluid through a channel with stretchingwalls in the presence of an applied magnetic field. The governing partial differential equations are reduced in a set of nonlinear ordinary differential equations using dimensionless variables. An implicit finite difference method is employed to develop a numerical solution at each spatial node for the governing nonlinear differential equations. The obtained results are analyzed and discussed graphically under the influence of controlling pertinent parameters.