This paper explicates a phenomenal approach for computer modeling of a single cell solid oxide fuel cell where transfer function model is implemented for the calculation of partial pressures of hydrogen, oxygen and water. Activation, concentration and ohmic losses are also considered to obtain better characteristics of fuel cell. Steady state characteristics of fuel cell are obtained at different fuel flow rates ranging from 31ml/sec to 51ml/sec at two different operating temperatures 800°C and 850°C. It is observed that the limiting current density of fuel cell increases with the increase in fuel flow rate. Results are validated with the experimental data. The software that has been incorporated in designing is MATLAB/SIMULINK. © 2013 IEEE.