Heat transfer processes in a photovoltaic (PV) silicon solar panel are simulated under standard circumstances. A model containing an intricate treatment of the incoming solar radiation, long‐wave radiation, conduction, convection, and electrical power output is developed in mathematical form. To solve the time‐dependent partial differential equation, recent explicit numerical methods are utilized, which are unconditionally stable for heat conduction problems. Since very realistic values are obtained for the temperature and the dependent electrical variables such as the power output, one can conclude that these methods are efficient.