Arbitrary order numerical method for solving differential-algebraic equation by Padé series

摘要

In this paper, the solution for a differential-algebraic equation can be expanded up to arbitrary order using MAPLE computer algebra systems [MAPLE V, CRC Press, Boca Raton, FL 33431, 1996]. First we calculate power series of the given equations system then transform it into Padé series form, which give an arbitrary order for solving differential-algebraic equation numerically.