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TKSL to World Standards Comparison

Result description

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

TKSLMatlabMapleWolfram Mathematicadifferential equations

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    TKSL to World Standards Comparison

  • Original language description

    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.

  • Czech name

    Porovnání TKSL se světovými standardy

  • Czech description

    Článek představuje využití Moderní metody Taylorovy řady k výpočtu diferenciálních rovnic. Zaměřuje se na speciální případy, které vyžadují vysokou přesnost výpočtu. Porovnává numerické řešení diferenciálních rovnic pomocí TKSL softwaru s Matlabem.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JC - Computer hardware and software

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    MOSIS '08

  • ISBN

    978-80-86840-40-6

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

  • Publisher name

    NEUVEDEN

  • Place of publication

    Ostrava

  • Event location

    Hradec nad Moravicí

  • Event date

    Apr 22, 2008

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

CEP

JC - Computer hardware and software

Year of implementation

2008