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

被引：23

作者：

Çelik, E ^{[1
]}

Bayram, M ^{[1
]}

机构：

[1] Ataturk Univ, Fen Edebiyat Fak, Matemat Bolumu, TR-25240 Erzurum, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 137卷 / 01期

关键词：

differential-algebraic equation; arbitrary order; power series; Pade series;

D O I：

10.1016/S0096-3003(02)00080-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Pade series form, which give an arbitrary order for solving differential-algebraic equation numerically. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：57 / 65

页数：9

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