## Algebraic Variables

## Main.AlgebraicVariables History

Hide minor edits - Show changes to output

Changed line 7 from:

(:table border=1 width=~~50~~% align=left bgcolor=#EEEEEE cellspacing=0:)

to:

(:table border=1 width=100% align=left bgcolor=#EEEEEE cellspacing=0:)

Changed lines 3-8 from:

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are

!!! Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions.~~ This is not a restriction with simultaneous methods as used by %blue%A%red%P%black%Monitor. Also, ODEs or DAEs of any index can be solved.~~

!!! Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions

to:

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are declared in the variables section.

Added lines 1-31:

!! Algebraic Variables

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are

!!! Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions. This is not a restriction with simultaneous methods as used by %blue%A%red%P%black%Monitor. Also, ODEs or DAEs of any index can be solved.

!!! Example

(:table border=1 width=50% align=left bgcolor=#EEEEEE cellspacing=0:)

(:cellnr:)

! Example model with 2 algebraic equations

Model example

Parameters

p = 1

End Parameters

Variables

v1 = 1

v2 = 2

End Variables

Equations

v1 = v2 + p

2*v1 * v2 = v1^2

End Equations

End Model

(:tableend:)

Algebraic states are variables that do not have the differential operator ($) applied in any equation. These algebraic states are

!!! Consistent Initial Conditions

Forward stepping algorithms such as DASSL, DASPK, or CVODE generally require ordinary differential equations (ODEs) or index-1 differential algebraic equations (DAEs) and consistent initial conditions. This is not a restriction with simultaneous methods as used by %blue%A%red%P%black%Monitor. Also, ODEs or DAEs of any index can be solved.

!!! Example

(:table border=1 width=50% align=left bgcolor=#EEEEEE cellspacing=0:)

(:cellnr:)

! Example model with 2 algebraic equations

Model example

Parameters

p = 1

End Parameters

Variables

v1 = 1

v2 = 2

End Variables

Equations

v1 = v2 + p

2*v1 * v2 = v1^2

End Equations

End Model

(:tableend:)