====== ODE toolbox (Ecolego) ======

[[ecolego/files/ODE_toolbox_screenshot.png|{{:ODE_toolbox_screenshot_thumb.png|Ecolego Modelling Software Screenshot}}]]

The Ordinary Differential Equation (ODE) toolbox is always included with the base version of [[Ecolego|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|compartment]] building block representing a dependent variable or [[State|state]].
  * The [[Transfer|Transfer]] building block to model fluxes between [[Compartment|compartments]]. Transfers can be [[Transfer_coefficient|linear]], non-linear or discrete.
  * The [[Transport|transport sub-system]] which allows you to approximate partial differential equations in one dimension.
  * An extensive library of numerical [[Solver|solvers]].
  * [[Batch_simulations|Batch simulations]]

|{{:ODEToolbox.png|ODE Toolbox Screenshot}}|

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 ( [[Compartment|compartments]] and [[Transfer|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

===== Manual =====

  * [[ODE_toolbox_wiki|ODE toolbox Wiki]]