Numerical Solving of Differential Equations Using MATLAB

Kód výsledku v IS VaVaI

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RIV/70883521:28610/13:43870820

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solving of Differential Equations Using MATLAB

Popis výsledku v původním jazyce

The paper deals with the usage of classical numerical methods in the mathematical software Matlab. First, the Euler's method was introduced. As this method is also not so accurate, more accurate Runge-Kutta's second and fourth order methods were described. These methods belongs to the class of single-step numerical methods which means, that we need only actual value of the quantity for the computation of the value in the next step. The common thing for all these methods is that they all comes from the Taylor's series and differs only in the number of parts which they use for the computation. Big advantage can be found also in easy programmability of these methods although they are often build-in functions in the Mathematical software. The contributionalso compares results for programmed and build-in functions for two different examples of ordinary differential equation sets.

Název v anglickém jazyce

Numerical Solving of Differential Equations Using MATLAB

Popis výsledku anglicky

The paper deals with the usage of classical numerical methods in the mathematical software Matlab. First, the Euler's method was introduced. As this method is also not so accurate, more accurate Runge-Kutta's second and fourth order methods were described. These methods belongs to the class of single-step numerical methods which means, that we need only actual value of the quantity for the computation of the value in the next step. The common thing for all these methods is that they all comes from the Taylor's series and differs only in the number of parts which they use for the computation. Big advantage can be found also in easy programmability of these methods although they are often build-in functions in the Mathematical software. The contributionalso compares results for programmed and build-in functions for two different examples of ordinary differential equation sets.

Druh

D - Stať ve sborníku

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 4th International Conference on circuits, Systems, Control, Signals (CSCS´13)

ISBN

978-960-474-318-6

ISSN

1790-5117

e-ISSN

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Počet stran výsledku

6

Strana od-do

68-73

Název nakladatele

WSEAS Press

Místo vydání

Barcelona

Místo konání akce

Valencia

Datum konání akce

6. 8. 2013

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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