Research Article

An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable

Volume: 6 Number: 2 October 15, 2018
EN

An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable

Abstract

In this study, we have given an algorithm and a step size strategy for numerical solution of Hurwitz stable differential equation systems. The algorithm is suited for implementation using computer algebra systems. So we also have given numerical examples from various field using this algorithm and a Maple procedure for the algorithm.



Keywords

References

  1. [1] Bulgakov, H. Matrix Computations with Guaranteed Accuracy in Stabilty Theory, Selc¸uk University, Konya, 1995.
  2. [2] Bulgak, H. Pseudoeigenvalues, Spectral Portrait of the Matrices and Their Connections with Different Criteria of Stability, NATO ASI Series, Series C: Mathematical and Physical Sciences,536, 1999, 95 p.
  3. [3] Çelik Kızılkan, G. On the finding of step size in the numerical integtation of initial value peroblem, Master Thesis, Selc¸uk University Graduate Natural and Applied Sciences, Konya (in Turkish), 2004.
  4. [4] Çelik Kızılkan, G. Step size strategies on the numerical integration of the systems of differential equations, Ph.D. Thesis, Selc¸uk University Graduate Natural and Applied Sciences, Konya (in Turkish), 2009.
  5. [5] Çelik Kızılkan, G., Aydın, K. Step size strategy based on error analysis, SUFEFD, 25, 2005, pp. 79-86.
  6. [6] Çelik Kızılkan, G., Aydın, K. A new variable step size algorithm for Cauchy problem, Appl Math Comput, 183, 2006, pp. 878-884.
  7. [7] Çelik Kızılkan, G., Aydın, K. Step size strategies based on error analiysis for the linear systems, SDU Journal of Science (e- journal), 6(2), 2011, pp. 149-159.
  8. [8] Çelik Kızılkan, G., Aydın, K. Step size strategies for the numerical integration of systems of differential equations, J Comput Appl Math, 236(15), 2012, pp. 3805-3816.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 15, 2018

Submission Date

April 26, 2018

Acceptance Date

May 17, 2018

Published in Issue

Year 2018 Volume: 6 Number: 2

APA
Çelik Kızılkan, G., & Aydın, K. (2018). An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp Journal of Mathematics, 6(2), 290-298. https://izlik.org/JA57BH59RD
AMA
1.Çelik Kızılkan G, Aydın K. An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp J. Math. 2018;6(2):290-298. https://izlik.org/JA57BH59RD
Chicago
Çelik Kızılkan, Gülnur, and Kemal Aydın. 2018. “An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems With Hurwitz Stable”. Konuralp Journal of Mathematics 6 (2): 290-98. https://izlik.org/JA57BH59RD.
EndNote
Çelik Kızılkan G, Aydın K (October 1, 2018) An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp Journal of Mathematics 6 2 290–298.
IEEE
[1]G. Çelik Kızılkan and K. Aydın, “An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable”, Konuralp J. Math., vol. 6, no. 2, pp. 290–298, Oct. 2018, [Online]. Available: https://izlik.org/JA57BH59RD
ISNAD
Çelik Kızılkan, Gülnur - Aydın, Kemal. “An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems With Hurwitz Stable”. Konuralp Journal of Mathematics 6/2 (October 1, 2018): 290-298. https://izlik.org/JA57BH59RD.
JAMA
1.Çelik Kızılkan G, Aydın K. An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp J. Math. 2018;6:290–298.
MLA
Çelik Kızılkan, Gülnur, and Kemal Aydın. “An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems With Hurwitz Stable”. Konuralp Journal of Mathematics, vol. 6, no. 2, Oct. 2018, pp. 290-8, https://izlik.org/JA57BH59RD.
Vancouver
1.Gülnur Çelik Kızılkan, Kemal Aydın. An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp J. Math. [Internet]. 2018 Oct. 1;6(2):290-8. Available from: https://izlik.org/JA57BH59RD
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