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

被引：38

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)00093-0

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 (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 Pade series form, which gives an arbitrary order for solving DAE numerically. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：151 / 160

页数：10

共 50 条

[1] On the numerical solution of chemical differential-algebraic equations by Pade series
Çelik, E
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (01) : 13 - 17
[2] The Numerical Solution Of Partial Differential-Algebraic Equations (PDAEs) By Multivariate Pade Approximation
Yigider, Muhammed
Celik, Ercan
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (01): : 67 - 75
[3] SIMULTANEOUS NUMERICAL SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
GEAR, CW
[J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (01): : 89 - &
[4] The numerical solution of partial differential-algebraic equations
Muhammed Yigider
Ercan Çelik
[J]. Advances in Difference Equations, 2013
[5] Numerical solution of linear differential-algebraic equations
Hosseini, MM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (01) : 7 - 14
[6] The numerical solution of partial differential-algebraic equations
Yigider, Muhammed
Celik, Ercan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[7] An algorithm for a numerical solution of differential-algebraic equations
Pasic, H
[J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 4912 - 4917
[8] Numerical solution of hybrid systems of differential-algebraic equations
Hamann, Peter
Mehrmann, Volker
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (6-8) : 693 - 705
[9] Numerical solution of differential-algebraic equations by block methods
Bulatov, MV
[J]. COMPUTATIONAL SCIENCE - ICCS 2003, PT II, PROCEEDINGS, 2003, 2658 : 516 - 522
[10] Arbitrary order numerical method for solving differential-algebraic equation by Pade series
Çelik, E
Bayram, M
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) : 57 - 65

← 1 2 3 4 5 →