In this paper, the thermal-diffusion and magnetic field effects on a stagnation point flowing over a flat
stretching surface have been obtained and studied numerically with the variation of the viscosity under
the Soret and Dufour’s effects. The governing continuity, momentum, energy and concentration
equations are converted into a system of non-linear ordinary differential equations by means of
similarity transformation. The resulting system of coupled non-linear ordinary differential equations is
solved numerically. Numerical results were presented for velocity, temperature and concentration
profiles for different parameters of the problem as radiation parameter, magnetic field parameter,
porous medium parameter, endothermic chemical reaction, heat source parameter, stretching
parameter, the Soret and Dufour number and other. Also the effects of the pertinent parameters on
the skin friction, the rate of heat and mass transfer are obtained and discussed numerically and
illustrated graphically.