On the numerical solution of differential-algebraic equations by Padé series

Abstract

In this paper, the solution for a differential-algebraic equation (DAE) can be expanded up to arbitrary order using MAPLE computer algebra systems (Frank, MAPLE V, CRC Press, Boca Raton, FL, 1996). First we calculate Power series of the given equations system then transform it into Padé series form, which gives an arbitrary order for solving DAE numerically.