Title: Comparison of TKSL to world standards

Authors: Jiri Kunovsky, Michal Kraus, Milan Pindryc, Vaclav Satek

Addresses: Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic. ' Department of Intelligent Systems, Faculty of Information Technology, Brno University of Technology, Czech Republic

Abstract: An original mathematical method which uses the Taylor series method for solving differential equations in a nontraditional way has been developed and implemented in the Taylor Kunovsky Simulation Language (TKSL). Even though this method is not much preferred in the literature, experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceed that of the currently used algorithms for numerically solving differential equations. It is the aim of the paper to compare TKSL to world standards (i.e., MATLAB, Maple and Mathematica software).

Keywords: Taylor Kunovsky Simulation Language; TKSL; MATLAB; Maple; Wolfram Mathematica; differential equations.

DOI: 10.1504/IJAC.2009.024749

International Journal of Autonomic Computing, 2009 Vol.1 No.2, pp.182 - 191

Published online: 30 Apr 2009 *

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