Numerical Solution of Ordinary Differential Equations Using Mathematical Software

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F14%3A43872521" target="_blank" >RIV/70883521:28140/14:43872521 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-319-06740-7_19" target="_blank" >http://dx.doi.org/10.1007/978-3-319-06740-7_19</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-06740-7_19" target="_blank" >10.1007/978-3-319-06740-7_19</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of Ordinary Differential Equations Using Mathematical Software

Popis výsledku v původním jazyce

The differential equation is mathematical tool widely used for description various linear or nonlinear systems and behaviour in the nature not only in the industry. The numerical solution of the differential equation is basic tool of the modelling and simulation procedure. There are various types of numerical methods, the ones described in this contribution comes from the Taylor's series and big advantage of all of them is in easy programmability or even more some of them are included as a build-in functions in mathematical softwares such as Mathematica or MATLAB. The goal of this contribution is to show how proposed Euler and Runge-Kutta's methods could be programmed and implemented into MATLAB and examine these methods on various examples. The comparable parameters are accuracy and also speed of the computation.

Název v anglickém jazyce

Numerical Solution of Ordinary Differential Equations Using Mathematical Software

Popis výsledku anglicky

The differential equation is mathematical tool widely used for description various linear or nonlinear systems and behaviour in the nature not only in the industry. The numerical solution of the differential equation is basic tool of the modelling and simulation procedure. There are various types of numerical methods, the ones described in this contribution comes from the Taylor's series and big advantage of all of them is in easy programmability or even more some of them are included as a build-in functions in mathematical softwares such as Mathematica or MATLAB. The goal of this contribution is to show how proposed Euler and Runge-Kutta's methods could be programmed and implemented into MATLAB and examine these methods on various examples. The comparable parameters are accuracy and also speed of the computation.

Druh

D - Stať ve sborníku

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název statě ve sborníku

Advances in Intelligent Systems and Computing. 285

ISBN

978-3-319-06739-1

ISSN

2194-5357

e-ISSN

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Počet stran výsledku

13

Strana od-do

213-226

Název nakladatele

Springer-Verlag Berlin

Místo vydání

Heidelberg

Místo konání akce

Zlín

Datum konání akce

28. 4. 2014

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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