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undergraduate thesis
ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM
2024. urn:nbn:hr:190:306733
Bursić, Filip
University of Rijeka
Faculty of Engineering

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Bursić, F. (2024). ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:306733

Bursić, Filip. "ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2024. https://urn.nsk.hr/urn:nbn:hr:190:306733

Bursić, Filip. "ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2024. https://urn.nsk.hr/urn:nbn:hr:190:306733

Bursić, F. (2024). 'ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 17 December 2024, https://urn.nsk.hr/urn:nbn:hr:190:306733

Bursić F. ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2024 [cited 2024 December 17] Available at: https://urn.nsk.hr/urn:nbn:hr:190:306733

F. Bursić, "ANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:190:306733

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Metadata
TitleANALITIČKO RJEŠAVANJE JEDNODIMENZIONALNE VALNE JEDNADŽBE FOURIEROVOM METODOM
Title (english)Analytical solution to the one-dimensional wave equation derived by Fourier method
AuthorFilip Bursić
MentorIvan Dražić (mentor)
Committee memberDubravko Franković (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
Rijeka
Defense date and country2024-09-10, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U ovom smo radu pomoću parcijalnih diferencijalnih jednadžbi modelirali problem titrajuće žice. Nakon postavljanja pripadnog inicijalno-rubnog problema, isti smo riješili metodom separacije varijabli. Ova metoda vodila je na rješenje koje u pozadini ima razvoj početnih uvjeta u nepotpuni Fourierov red, što smo koristili kod zapisa konačnog rješenja problema. U radu se napravila analiza problema za Dirichletove i Neumannove rubne uvjete te je riješeno nekoliko praktičnih primjer
Abstract (english)
In this paper, we model the vibrating wire problem using partial differential equations. After formulating the corresponding initial boundary value problem, we solved it using the method of separation of variables. This approach resulted in a solution based on the expansion of the initial conditions into an incomplete Fourier series, which was employed in expressing the final solution. The paper analyzes the problem under both Dirichlet and Neumann boundary conditions and includes several practical examples to illustrate the application of these methods.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:306733
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2024-09-10 07:27:18