The steady, two dimensional, Flakner-Skan stretching and shrinking wedge flow of a power law fluid in the presence of viscous dissipation and convective boundary condition Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. These differential equations are highly nonlinear which cannot be solved analytically. Therefore, bvp4c MATLAB solver has been used for solving it. Numerical results are obtained for the skin-friction coefficient and the local Nusselt number as well as the velocity and temperature profiles for different values of the governing parameters, namely, consistency parameter, Falkner-Skin flow parameter, power law index parameter, convective parameter, wedge velocity parameter, suction/injection parameter and Eckert number.