ON THE TIME INTEGRATION OF RADIATION HEATING PROBLEMS

Subject to the satisfaction of the definition that any bounded numerical solution can be said to be computational stable, discussions are made on the time integration of radiation heating problems. It is proved that the numerical solution obtained by the time forward difference scheme is stable if the heating and its first time derivative are continuous. On the other hand, in order to demonstrate the convergence of the numerical solution to the analytical solution of the problem, an example is given.