Abstract
The convective 3-D MHD boundary-layer transport of Casson liquid by an unsteady stretchable sheet set in a permeable medium with variable thermal conuctivity is researched. Conservation laws of the mass, the momentum, and the energy are changed into ODE, which are numerically dealt with fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary-layer are processed and examined through graphs and tables for various parameters that portray the flow. The numerical outcomes got for the specific case are sensibly in great concurrence with the existing results.