Publication detail

TKSL to World Standards Comparison

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

Original Title

TKSL to World Standards Comparison

English Title

TKSL to World Standards Comparison

Type

conference paper

Language

en

Original Abstract

An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed and implemented in TKSL simulation language. 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 exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to compare TKSL to world standards.

English abstract

An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed and implemented in TKSL simulation language. 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 exceeds the currently used algorithms for numerically solving differential equations. It is the aim of the paper to compare TKSL to world standards.

Keywords

TKSL, Matlab, Maple, Wolfram Mathematica, differential equations

RIV year

2008

Released

23.04.2008

Publisher

NEUVEDEN

Location

Ostrava

ISBN

978-80-86840-40-6

Book

MOSIS '08

Edition

NEUVEDEN

Edition number

NEUVEDEN

Pages from

21

Pages to

27

Pages count

7

Documents

BibTex


@inproceedings{BUT30484,
  author="Václav {Šátek} and Jiří {Kunovský} and Michal {Kraus} and Milan {Pindryč}",
  title="TKSL to World Standards Comparison",
  annote="An original mathematical method which uses the Taylor series method for solving
differential equations in a non-traditional way has been developed and
implemented in TKSL simulation language. 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 exceeds the
currently used algorithms for numerically solving differential equations. It is
the aim of the paper to compare TKSL to world standards.",
  address="NEUVEDEN",
  booktitle="MOSIS '08",
  chapter="30484",
  edition="NEUVEDEN",
  howpublished="print",
  institution="NEUVEDEN",
  year="2008",
  month="april",
  pages="21--27",
  publisher="NEUVEDEN",
  type="conference paper"
}