ABSTRACT
In the previous chapter it was shown that a number of phenomena that are relevant
to engineering can be described in terms of ordinary differential equation (ODEs).
The methods that were described to solve such problems had the advantage that
they were intuitively obvious and gave a clear idea of the solution methodology.
However, the low-order of accuracy associated with the measures makes them
unlikely candidates in the solution of real problems. The methods in this chapter
will build on the earlier methods but will be shown to be far superior. The basic
operation is still the same, but it will be seen that much more attention is given to
estimating the slope to be used in the step from one point to the next.
