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ode_toolbox [2016/09/08 11:56] boris |
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- | ====== ODE toolbox ====== | + | ====== ODE toolbox |
[[ecolego/ | [[ecolego/ | ||
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+ | The Ordinary Differential Equation (ODE) toolbox is always included with the base version of [[Ecolego|Ecolego]]. | ||
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* The [[Compartment|compartment]] building block representing a dependent variable or [[State|state]]. | * 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]], | + | * The [[Transfer|Transfer]] building block to model fluxes between [[Compartment|compartments]]. Transfers can be [[Transfer_coefficient|linear]], |
* The [[Transport|transport sub-system]] which allows you to approximate partial differential equations in one dimension. | * The [[Transport|transport sub-system]] which allows you to approximate partial differential equations in one dimension. | ||
* An extensive library of numerical [[Solver|solvers]]. | * An extensive library of numerical [[Solver|solvers]]. | ||
* [[Batch_simulations|Batch simulations]] | * [[Batch_simulations|Batch simulations]] | ||
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+ | 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. | ||
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+ | * 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 ===== | ===== Manual ===== | ||
- | * [[ODE_toolbox_wiki|ODE toolbox | + | * [[ODE_toolbox_wiki|ODE toolbox |
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- | ===== See also ===== | ||
- | * [[Software|Software]] |