Publication detail

Comparison of TKSL to world standards

KUNOVSKÝ, J. ŠÁTEK, V. KRAUS, M. PINDRYČ, M.

Original Title

Comparison of TKSL to world standards

English Title

Comparison of TKSL to world standards

Type

journal article - other

Language

en

Original 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).

English 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

TKSL; MATLAB; Maple; Wolfram Mathematica; differential equetions

RIV year

2009

Released

11.04.2009

Publisher

NEUVEDEN

Location

NEUVEDEN

Pages from

182

Pages to

191

Pages count

10

BibTex


@article{BUT49311,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus} and Milan {Pindryč}",
  title="Comparison of TKSL to world standards",
  annote="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).",
  address="NEUVEDEN",
  chapter="49311",
  edition="NEUVEDEN",
  howpublished="print",
  institution="NEUVEDEN",
  journal="International Journal of Autonomic Computing",
  number="2",
  volume="1",
  year="2009",
  month="april",
  pages="182--191",
  publisher="NEUVEDEN",
  type="journal article - other"
}