Other Forms of DAEs
The distinction of DAEs to ODEs becomes apparent if some of the dependent variables occur without their derivatives. The vector of dependent variables may then be written as pair and the system of differential equations of the DAE appears in the form
where
- , a vector in, are dependent variables for which derivatives are present (differential variables),
- , a vector in, are dependent variables for which no derivatives are present (algebraic variables),
- , a scalar (usually time) is an independent variable.
- is a vector of functions that involve subsets these variables and derivatives.
As a whole, the set of DAEs is a function
Initial conditions must be a solution of the system of equations of the form
Read more about this topic: Differential Algebraic Equation
Famous quotes containing the word forms:
“Play gives children a chance to practice what they are learning....They have to play with what they know to be true in order to find out more, and then they can use what they learn in new forms of play.”
—Fred Rogers (20th century)