Thesis Details

Analýza diferenčních vztahů pro řešení parciálních diferenciálních rovnic

Bachelor's Thesis Student: Zpěváková Jana Academic Year: 2016/2017 Supervisor: Šátek Václav, Ing., Ph.D.
English title
Analysis of Methods of Differences for Partial Differential Equations Solving
Language
Czech
Abstract

In this thesis, we discuss the numerical solution of ordinary differential equation and numerical methods of solving partial differential equations. We propose and implement an application, that converts partial differential hyperbolic equation to a set of ordinary differential equations using finite difference method. After that, the system of equations is solved using the Taylor method programmed in Matlab environment. Finally, we compare the time complexity of proposed solution with parallel numerical computation.

Keywords

Partial differential equations, Taylor polynomial, Lagrange polynomial, Finite difference method, Forward method, Combined method, Backward method.

Department
Department of Intelligent Systems FIT BUT
Degree Programme
Information Technology
Files
Status
defended, grade E
Date
15 June 2017
Reviewer
Zbořil František V., doc. Ing., CSc.
Committee
Janoušek Vladimír, doc. Ing., Ph.D. (DITS FIT BUT), předseda
Bidlo Michal, doc. Ing., Ph.D. (DCSY FIT BUT), člen
Chudý Peter, doc. Ing., Ph.D. MBA (DCGM FIT BUT), člen
Křivka Zbyněk, Ing., Ph.D. (DIFS FIT BUT), člen
Novák Michal, doc. RNDr., Ph.D. (DMAT FEEC BUT), člen
Citation
ZPĚVÁKOVÁ, Jana. Analýza diferenčních vztahů pro řešení parciálních diferenciálních rovnic. Brno, 2017. Bachelor's Thesis. Brno University of Technology, Faculty of Information Technology. 2017-06-15. Supervised by Šátek Václav. Available from: https://www.fit.vut.cz/study/thesis/20092/
BibTeX 
@bachelorsthesis{FITBT20092,
    author = "Jana Zp\v{e}v\'{a}kov\'{a}",
    type = "Bachelor's thesis",
    title = "Anal\'{y}za diferen\v{c}n\'{i}ch vztah\r{u} pro \v{r}e\v{s}en\'{i} parci\'{a}ln\'{i}ch diferenci\'{a}ln\'{i}ch rovnic",
    school = "Brno University of Technology, Faculty of Information Technology",
    year = 2017,
    location = "Brno, CZ",
    language = "czech",
    url = "https://www.fit.vut.cz/study/thesis/20092/"
}

Theses

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