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:)