ON THE NUMERICAL-SOLUTION OF DIFFERENTIAL ALGEBRAIC EQUATIONS

A method is proposed to transform a system of differential algebraic equations (D.A.E.) to a system of ordinary differential equations (O.D.E.) which can be solved relatively easily by standard numerical techniques. Two examples, including a model of an absorption tower, are given to illustrate the utility of the method. The example problems reveal that this easily implemented technique offers significant savings in CPU time compared to the numerical solution of the untransformed D.A.E.s particularly when the algebraic equations are nonlinear. Furthermore, it appears to be faster and/or more reliable than other numerical schemes which have been recently developed for equations of this type.