Explicit fixed-step solver of fifth order. The method was proposed by Dormand and Prince in 1980. The method is a member of the Runge–Kutta family of ODE solvers.

The Butcher tableau for the Dormand–Prince method of order 5 is:

0 1/5 1/5 3/10 3/40 9/40 4/5 44/45 -56/15 32/9 8/9 19372/6561 -25360/2187 64448/6561 -212/729 1 9017/3168 -355/33 46732/5247 49/176 -5103/18656 35/384 0 500/1113 125/192 -2187/6784 11/84

Applicable solver settings:

• Fixed-step size
• Limit data points to last

• http://en.wikipedia.org/wiki/Dormand-Prince