Up to now, we have seen three techniques for reducing the error for solving an initial value problem of the form:
y(a) = y0
where we estimated for y(b) with a single step (or iteration). To get a better answer, use the same strategy as we did for the composite trapezoidal rule by breaking the interval up into smaller sub intervals and applying either Euler's, Heun's or the 4th-order Runge Kutta methods on each subinterval.
Useful background for this topic includes:
See the corresponding references in the last three background topics.
Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.