Investigation and Analysis of Matlab Models Used to Solve Second Order Linear ODE


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Ordinary differential equations (odes) are used in realistic applications such as applied mathematics, physics, metrology, and engineering. Because of the big efforts needed to solve second order linear ODES. ODEs are widely used to describe some plants, the behaviors of a plant were described, and the response signal was analyzed in order to improve the system performance by minimizing the absolute error. Some Matlab methods and functions were investigated. Also some models were built, the result of these methods, and the simulated model results were studied and some judgment were done regarding the results accuracy and implementation time.
Copyright © 2020 Praise Worthy Prize - All rights reserved.

Keywords


ODE; Execution Time; Absolute Error; Speedup; Matlab Functions; Simulink Model

Full Text:

PDF


References


R. Bryant, M. Dunajski, M. Eastwood, Metris ability of two-dimensional pro-ejective structures, arXiv: math/0801.0300 (2008).

R. Bryant, G. Manno, V. S. Matveev, A solution of a problem of Sophism Lie: normal forms of two-dimensional metrics admitting two projective vectored, Math. Ann. 340 (2008), no. 2, 437{463}.

M. Fels, P. Olver, On relative invariants, Math. Ann. 308, no. 4, 701{732} (1997).

L. Hsu, N. Kamran, Classification of second-order ordinary differential equations admitting Lie groups of ¯bre-preserving point symmetries, Proc. London Math. Soc. (3) 58 (1989), no. 2, 387{416}.

N. Ibragimov, F. Magri, Geometric proof of Lie's linearization theorem, Non- linear Dynamics 36, 41{46 (2004).

B. Kruglikov, Invariant characterization of Liouville metrics and polynomial integrals, to appear in Jour. Geom. and Phys. (2008).

B. S. Kruglikov, V. V. Lychagin, Invariants of pseudo group actions: Homological methods and Finiteness theorem, Int. J. Geomet. Meth. Mod. Phys. 3, no. 5 & 6 (2006), 1131{1165}.

B. S. Kruglikov, V. V. Lychagin, Geometry of Diferential equations, prepr. IHES/M/07/04; in: Handbook of Global Analysis, Ed. D.Krupka, D.Saunders, Elsevier (2008), 725-772.

B. S. Kruglikov, V. V. Lychagin, Compatibility, multi-brackets and integrability of systems of PDEs, prepr. Univ. Troms¿ 2006-49; ArXive: math.DG/0610930 (2006).

P. Nurowski, G. A. Sparling, Three-dimensional Cauchy-Riemann structures and second-order ordinary di®erential equations, Classical Quantum Gravity 20 (2003), no. 23, 4995{5016}.

V. Yumaguzhin, Di®erential invariants of 2{order ODEs, I, arXiv: math.DG/0804.0674 v1 (2008)

P. Blanchard, R. L. Devaney, G. R. Hall, Differential Equations, Thompson, 2006

Dorf, Richard C. and Robert H. Bishop, Modern Control Systems, 9th ed., Prentice–Hall Inc., New Jersey-07458, USA, 2001, Chapters 1, 5, pp. 1-23, pp. 173-206.

Wood, A.J. and B.F. Wollenberg, Power Generation, Operation, and Control, 2nd ed., Wiley India (P.) Ltd., 4435/7, Ansari Road, Daryaganj, New Delhi 110 002, India, 2007, Chapter 9, pp. 328-360.


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize