Mathematical solutions (traditional and using MATLAB) of differential equations in physical chemistry ? basic use of functions ode23 and ode45)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26310%2F15%3APU114451" target="_blank" >RIV/00216305:26310/15:PU114451 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical solutions (traditional and using MATLAB) of differential equations in physical chemistry ? basic use of functions ode23 and ode45)

Popis výsledku v původním jazyce

The objective of the computer-aided teaching of Mathematics I and Mathematics II is to make students learn to apply the acquired knowledge and mathematical skills in technical subjects. For this reason, in Mathematics II each student has to solve individually given application task using differential equations. Students have to solve this task from physical chemistry first generally by traditional manual calculations. Then they can substitute a specific given value and calculate exact and approximate solutions. Students should check both of these results using MATLAB. Then they find, independently of this solution, specific approximate solution using predefined functions ode23 and ode45 in MATLAB and calculate absolute error of their approximate solution. In this paper this unusual way of solving problems from reaction kinetics is analyzed on three examples of basic use of functions ode23 and ode45. First example deals with calculation of current concentration of resulting product, giv

Název v anglickém jazyce

Mathematical solutions (traditional and using MATLAB) of differential equations in physical chemistry ? basic use of functions ode23 and ode45)

Popis výsledku anglicky

The objective of the computer-aided teaching of Mathematics I and Mathematics II is to make students learn to apply the acquired knowledge and mathematical skills in technical subjects. For this reason, in Mathematics II each student has to solve individually given application task using differential equations. Students have to solve this task from physical chemistry first generally by traditional manual calculations. Then they can substitute a specific given value and calculate exact and approximate solutions. Students should check both of these results using MATLAB. Then they find, independently of this solution, specific approximate solution using predefined functions ode23 and ode45 in MATLAB and calculate absolute error of their approximate solution. In this paper this unusual way of solving problems from reaction kinetics is analyzed on three examples of basic use of functions ode23 and ode45. First example deals with calculation of current concentration of resulting product, giv

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

Matematika, informační technologie a aplikované vědy

ISBN

978-80-7231-998-5

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

199-205

Název nakladatele

Univerzita Obrany, Brno

Místo vydání

Brno

Místo konání akce

Univerzita Obrany, Brno

Datum konání akce

18. 6. 2015

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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