Thesis Details
Efektivní řešení obyčejných diferenciálních rovnic metodami vyšších řádů
Work is focusing on solution of ordinary differential equations and systems of ordinary differential equations. Firstly, reader is informed with numerical solution of differential equations with each method and comparing results, errors between them and their stability. Next is shown of solution of systems of ordinary differential linear equations with each methods and comparing results, errors between them and their stability and in conclusion , there is showed solution of system of non linear ordinary differential equations with Taylor series and built-in functions of MATLAB , comparing error between them and comparing time requirement between them. In next part, there is shown circuit created from 100 small circuits, which will be described with differential equations and solved with method and compared time requirement between them like with non linear equations. In the last part, there will be shown another usage of differential equations and that will be for movement of pendulum.
ordinary diferential equation, Taylor Series,Runge-Kutta method, Euler method
Fuchs Petr, RNDr., Ph.D. (DMAT FEEC BUT), člen
Křivka Zbyněk, Ing., Ph.D. (DIFS FIT BUT), člen
Martínek Tomáš, doc. Ing., Ph.D. (DCSY FIT BUT), člen
Zbořil František V., doc. Ing., CSc. (DITS FIT BUT), člen
@bachelorsthesis{FITBT22275,
author = "Osk\'{a}r Gazd\'{i}k",
type = "Bachelor's thesis",
title = "Efektivn\'{i} \v{r}e\v{s}en\'{i} oby\v{c}ejn\'{y}ch diferenci\'{a}ln\'{i}ch rovnic metodami vy\v{s}\v{s}\'{i}ch \v{r}\'{a}d\r{u}",
school = "Brno University of Technology, Faculty of Information Technology",
year = 2019,
location = "Brno, CZ",
language = "czech",
url = "https://www.fit.vut.cz/study/thesis/22275/"
}