Explicit Runge-Kutta scheme known as the Dormand-Prince routine, which is 5th order/4th order, a 7-stage method that can solve for an ODE. It also features stiffness detection and event location. Could only be used for solving ODE with non-stiff systems.
Currently Dormand-Prince method is the default method for solving ODE in MATLAB.
- Dormand, J. R.; Prince, P. J. (1980), A family of embedded Runge-Kutta formulae, Journal of Computational and Applied Mathematics 6 (1): 19–26