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:
“The poet’s eye, in a fine frenzy rolling,
Doth glance from heaven to earth, from earth to heaven;
And as imagination bodies forth
The forms of things unknown, the poet’s pen
Turns them to shapes, and gives to airy nothing
A local habitation and a name.”
—William Shakespeare (1564–1616)
Related Phrases
Related Words