ODE toolbox (Ecolego)

The Ordinary Differential Equation (ODE) toolbox is always included with the base version of Ecolego.

The ODE toolbox allows you to create and simulate compartment models in Ecolego. Both linear and non-linear systems of ordinary differential equations are supported.

This toolbox adds the following functionality to Ecolego:

• The compartment building block representing a dependent variable or state.
• The Transfer building block to model fluxes between compartments. Transfers can be linear, non-linear or discrete.
• The transport sub-system which allows you to approximate partial differential equations in one dimension.
• An extensive library of numerical solvers.
• Batch simulations

The ODE toolbox feature powerful numerical solvers of ordinary differential equations. Both variable and fixed step size solvers are available, as well as solvers for stiff systems.

• Set up system of ordinary differential equations using graphical blocks ( compartments and transfers )
• Supports both linear and non-linear transfers
• Discrete transfers
• Saturation limits
• Variable step size solvers
  • Bogacki-Shampine (Runge-Kutta 2,3)
  • Dormand-Prince (Runge-Kutta 4,5)
  • Dormand-Prince (Runge-Kutta 8,5,3)
  • Adams-Bashforth-Moulton (variable order 1-12)
  • NDF (variable order 1-5)
  • BDF (variable order 1-5)
  • RADAU5 (Runge-Kutta)
  • Rosenbrock (Second order)
  • Trapezoidal
  • TR-BDF2 (Runga-Kutta)
• Fixed step size solvers * Runge-Kutta 1-5

• ODE toolbox Wiki