ABSTRACT

Let's rework the problem again with fJ.t = 1.0 s (i.e., d = 1.0). The results after each of the first three time steps are illustrated in Figure 10.12. This solution is obviously physically incorrect. Severe oscillations have developed in the solution. These oscillations grow larger and larger as time increases. Values of T(x, t) greater than the initial value of 100.0 and less than the boundary values of 0.0 are predicted. Both of these results are physically impossible. These results are numerically unstable.