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undergraduate thesis
Numerička rješenja Burgersove jednadžbe u jednoj dimenziji
2019. urn:nbn:hr:166:707556
Pavičić Donkić, Mihaela
University of Split
Faculty of Science
Department of Physics

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Pavičić Donkić, M. (2019). Numerička rješenja Burgersove jednadžbe u jednoj dimenziji (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:707556

Pavičić Donkić, Mihaela. "Numerička rješenja Burgersove jednadžbe u jednoj dimenziji." Undergraduate thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:707556

Pavičić Donkić, Mihaela. "Numerička rješenja Burgersove jednadžbe u jednoj dimenziji." Undergraduate thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:707556

Pavičić Donkić, M. (2019). 'Numerička rješenja Burgersove jednadžbe u jednoj dimenziji', Undergraduate thesis, University of Split, Faculty of Science, accessed 05 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:707556

Pavičić Donkić M. Numerička rješenja Burgersove jednadžbe u jednoj dimenziji [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2019 [cited 2024 December 05] Available at: https://urn.nsk.hr/urn:nbn:hr:166:707556

M. Pavičić Donkić, "Numerička rješenja Burgersove jednadžbe u jednoj dimenziji", Undergraduate thesis, University of Split, Faculty of Science, Split, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:166:707556

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Metadata
TitleNumerička rješenja Burgersove jednadžbe u jednoj dimenziji
Title (english)Some of the numerical solutions of one-dimensional Burgers' equation
AuthorMihaela Pavičić Donkić
MentorLarisa Zoranić (mentor)
Committee memberLarisa Zoranić (predsjednik povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
Committee memberIvana Weber (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2019-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Burgersova jednadžba nerijetko se susreće u pojednostavljivanju složenih modela u fizici. Pritom opisuje idealni sustav čije je razumijevanje temeljno za kasnije razumijevanje složenijih sustava. U ovom radu je kao primjer prikazano pojednostavljenje Navier-Stokes jednadžbi. Glavni cilj rada je numeričko rješavanje Burgersove jednadžbe u programskom jeziku C. Pritom se koriste dvije metode: prva metoda je kombinacija Fourierovog razvoja u red te Hopf-Cole transformacije koja Burgersovu jednadžbu svodi na jednadžbu topline, dok se druga metoda temelji na Eulerovoj metodi prema naprijed. Rješenja dobivena prvom metodom nazivaju se točna rješenja te nam time koriste za usporedbu rješenja dobivenih Eulerovom metodom.
Abstract (english)
Burgers’ equation is often encountered in simplifying complex cases in physics. In doing so, it is describing an ideal system whose understanding is fundamental to later understanding of more complex systems. In this paper is presented, as an example, a simplification of the Navier-Stokes equations. The main objective of the paper is to numerically solve the Burgers equation in programming language C. Two methods are used: the first method is a combination of Fourier series and the Hopf-Cole transformation that reduces the Burgers equation to the heat equation, while the second method is based on the Euler forward method. The solutions obtained by the first method are called exact solutions and are thus used to compare the solutions obtained by the Euler method.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:707556
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2019-11-22 09:44:34