ABSTRACT
If a coupled system of equations such as Eqs. (7.343) and (7.344), which are equivalent to an uncoupled system of ODEs such as Eqs. (7.347) and (7.348), is solved by an explicit method, the common time step must be the smaller of the two values corresponding to Eqs. (7.347) and (7.348), that is,!J.t = ~t2 :::: O.OOIC. The exact solutions of Eqs. (7.347) and (7.348) are:
The function zU) decays to a negligible value after a few time steps, during which time the function yet) has changed only slightly. Small time steps must still be taken in the solution for yet) because of the stability limit associated with z(t).
