Dergiler / Konuralp Journal of Mathematics / 2018 / Cilt: 6 - Sayı: 2

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

Sayfa
290–298
Yayın Tarihi
2018-10-15
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

So we also have given numerical examples from various field using this algorithm and a Maple procedure for the algorithm.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we have given an algorithm and a step size strategy for numerical solution of Hurwitz stable differential equation systems.
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Temel Bulgular & Veri:The algorithm is suited for implementation using computer algebra systems.
💡
Sonuç & Katkı:So we also have given numerical examples from various field using this algorithm and a Maple procedure for the algorithm.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Variable step size · Step size strategy · Hurwitz stable matrix

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.

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Bu Makaleye Atıf Yap

KIZILKAN, G. Ç., AYDIN, K. (2018). An Efficient Step Size Strategy for Numerical Approximation of Dynamical Systems with Hurwitz Stable. Konuralp Journal of Mathematics, Cilt: 6 - Sayı: 2, 290–298. https://ajindex.com/articles/786562

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Kaynakça (16)

  1. Bulgakov, H. Matrix Computations with Guaranteed Accuracy in Stabilty Theory, Selc¸uk University, Konya, 1995
  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. 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. 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. Çelik Kızılkan, G., Aydın, K. Step size strategy based on error analysis, SUFEFD, 25, 2005, pp. 79-86
  6. Çelik Kızılkan, G., Aydın, K. A new variable step size algorithm for Cauchy problem, Appl Math Comput, 183, 2006, pp. 878-884
  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. 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
  9. Çıbıkdiken, A. O., Aydın, K. Computation of the monodromy matrix in floating point arithmetic with Wilkinson model, Comput Math Appl, 67(5), 2014, pp. 1186-1194
  10. Duman,A., Aydın, K. Sensitivity of Hurwitz stability of linear differential equation systems with constant coefficients, Int J Geom Methods Mod Phys, 14(6),2017, pp. 1750084
  11. El-Zahar, Essam R. An adaptative Step-Size Taylor Series Based Method and Application to Nonlinear Biochemical Reaction Model, Trends Appl Sci Res,7(11), 2012, pp.901-912
  12. Golub, G.H., Ortega, J.M. Scientific Computing and Differential Equations, Academic Press Limited, London, 1992
  13. Heath, M.T. Scientific Computing an Introductory Survey, 2nd Edition, McGraw-Hill, New York, 2002
  14. Loan, C.F.V. Introduction to Scientific Computing, Prentice Hill, United States of America, 2000
  15. Pastravanu, O., Voicu, M. Generalized matrix diagonal stability and linear dynamical systems, Linear Algebra Appl, 419, 2006, pp. 299-310
  16. Gustafson, G. Sytems of differential equations. Grant Gustafson’s home Page (Access date 10.10.2017).