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POWER SERIES SOLUTION OF DIFFERENTIAL ALGEBRAIC EQUATION

Year 2007, Issue: 013, 39 - 44, 15.06.2007

Abstract

Bu makalede, Lineer diferensiyel cebirsel denklernleri cozmek icin kuvvet serisi yontemi uygulandi. Bu yontem diferensiyel cebirsel denklemlerin numerik 90zmek icin bir keyfi mertebe verir.. Biz bu metodu test etmek icin bir ornek verdik ve elde ettigirniz sonuc ile analitik cozumtl karsilastirdik.

References

  • [1] Henrici, P., Applied Computational Complex Analysis, Vol.1, John Wiely&Sons, New York, Chap.l, (1974).
  • [2]. Corliss G. And Chang Y. F., Solving Ordinary Differential Equations Using Taylor Series, ACM Trans. Math. Soft., 114-144,(1982).
  • [3]. K. E. Brenan, S. L. Campbell, L.R. Petzold, Numerical solution of Initial-value problems in Differential-Algebraic Equations, North-Holland, Amsterdam (1989).
  • [4]. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-verlag, (1991).
  • [5]. Kurulay,M, Differential Algebraic Equations solving with power series, master thesis,
  • [6]. U.M. Ascher, L.R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Philadelphia: Society for Industrial and Applied Mathematics, (1998).
  • [7]. H. Hirayama, Arbitrary order and A-stable numerical method for solving algebraicordinary differential equation by power series. 2nd International Conference on:Mathematics and Computers in Physics. July9-16.(2ooo).
  • [8]. G.Frank., MAPLE V.CRC Press Inc., 2000 Corporate Blvd., N.W., Boca Raton, Florida33431, (1996).
  • [9] Weirning Wang, "An algorithm for solving DAEs with mechanization", Applied Mathematics and Computation, 67 1350-1372, (2005).
  • 10] Bayram, M.and Celik, E., "Arbitrary Order Numerical Method for Solving Differential-Algebraic Equations by Pade Series", Applied Mathematics and Computation. (2003),

POWER SERIES SOLUTION OF DIFFERENTIAL ALGEBRAIC EQUATION

Year 2007, Issue: 013, 39 - 44, 15.06.2007

Abstract

In this paper, we apply the power series method to solve a linear differential algebraic equation. This method gives an arbitrary order for solving differential algebraic equation numerically. We have given an example to test the method and the result of the our method compared the exact solution of the given problem.

References

  • [1] Henrici, P., Applied Computational Complex Analysis, Vol.1, John Wiely&Sons, New York, Chap.l, (1974).
  • [2]. Corliss G. And Chang Y. F., Solving Ordinary Differential Equations Using Taylor Series, ACM Trans. Math. Soft., 114-144,(1982).
  • [3]. K. E. Brenan, S. L. Campbell, L.R. Petzold, Numerical solution of Initial-value problems in Differential-Algebraic Equations, North-Holland, Amsterdam (1989).
  • [4]. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-verlag, (1991).
  • [5]. Kurulay,M, Differential Algebraic Equations solving with power series, master thesis,
  • [6]. U.M. Ascher, L.R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Philadelphia: Society for Industrial and Applied Mathematics, (1998).
  • [7]. H. Hirayama, Arbitrary order and A-stable numerical method for solving algebraicordinary differential equation by power series. 2nd International Conference on:Mathematics and Computers in Physics. July9-16.(2ooo).
  • [8]. G.Frank., MAPLE V.CRC Press Inc., 2000 Corporate Blvd., N.W., Boca Raton, Florida33431, (1996).
  • [9] Weirning Wang, "An algorithm for solving DAEs with mechanization", Applied Mathematics and Computation, 67 1350-1372, (2005).
  • 10] Bayram, M.and Celik, E., "Arbitrary Order Numerical Method for Solving Differential-Algebraic Equations by Pade Series", Applied Mathematics and Computation. (2003),
There are 10 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Muhammet Kurulay This is me

Mustafa Bayram

Publication Date June 15, 2007
Published in Issue Year 2007 Issue: 013

Cite

APA Kurulay, M., & Bayram, M. (2007). POWER SERIES SOLUTION OF DIFFERENTIAL ALGEBRAIC EQUATION. Journal of Science and Technology of Dumlupınar University(013), 39-44.

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