Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
A new index reduction algorithm for DAEs is developed. In the usual manner, parts of the DAE are differentiated analytically and appended to the original system. For each additional equation, a derivative is selected to be replaced by a new algebraic variable called a dummy derivative. The resulting augmented system …