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

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摘要

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.

论文关键词:Differential-algebraic equation,Arbitrary order,Power series,Padé series

论文评审过程:Available online 7 March 2002.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00093-0