ode45 (Dormand Prince)

Based on an explicit Runge-Kutta (4,5) formula, the Dormand-Prince pair, ode45 is a one-step solver - in computing y(tn). It needs only the solution at the immediately preceding time point y(tn-1). In general, ode45 is the best function to apply as a “first try” for most problems.

Nonstiff problems, medium accuracy. Use most of the time. This should be the first solver you try.

Applicable solver settings:

• Absolute tolerance
• Relative tolerance
• Initial step size
• Max step size
• Min step size
• Refine
• Limit data points to last
• Norm Control
• Allowed step size violations
• Enable saturation

• Dormand, J. R. and P. J. Prince, “A family of embedded Runge-Kutta formulae,” J. Comp. Appl. Math., Vol. 6, 1980, pp 19-26.