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The present paper deals with the numerical solution of magnetohydrodynamic (MHD) flow of Williamson fluid model over a stretching cylinder. The governing partial differential equation of Williamson fluid is converted into an ordinary differential equation using similarity transformations along with boundary layer approach, which is then solved numerically by applying the shooting method in conjunction with Runge-Kutta-Fehlberg method. The effect of different parameters on velocity profile is thoroughly examined through graphs and tables. [ABSTRACT FROM AUTHOR]