Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda

Mandić, Lara

prikaz prve stranice dokumenta Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda

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undergraduate thesis

Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda

Rijeka: University of Rijeka, Faculty of Engineering, 2021. urn:nbn:hr:190:295342

Mandić, Lara

University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Cite this document

APA 6th Edition

Mandić, L. (2021). Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:295342

MLA 8th Edition

Mandić, Lara. "Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:295342

Chicago 17th Edition

Harvard

Mandić, L. (2021). 'Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 16 March 2025, https://urn.nsk.hr/urn:nbn:hr:190:295342

Vancouver

Mandić L. Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2025 March 16] Available at: https://urn.nsk.hr/urn:nbn:hr:190:295342

IEEE

L. Mandić, "Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:190:295342

Cite this item: https://urn.nsk.hr/urn:nbn:hr:190:295342

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Metadata

Title	Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda
Title (english)	Fourier method for solving linear partial differential equations of the second order
Author	Lara Mandić
Mentor	Ivan Dražić (mentor)
Mentor	Viktor Sučić (komentor)
Committee member	Viktor Sučić (predsjednik povjerenstva)
Committee member	Ivan Dražić (član povjerenstva)
Granter	University of Rijeka Faculty of Engineering (Department of Mathematics, Physics, and Foreign Languages) (Section of Applied Mathematics) Rijeka
Defense date and country	2021-07-07, Croatia
Scientific / art field, discipline and subdiscipline	TECHNICAL SCIENCES Electrical Engineering
Abstract	U ovom radu objašnjen je Fourierov red, uvjeti njegovog postojanja te primjer razvoja funkcije u Fourierov red. Definirani su uvjeti postojanja Fourierovog reda odnosno Dirichletovi uvjeti kao i način dopune nepotpunog Fourierovog reda kako bismo dobili "najpovoljnije" rješenje. Također kratko smo se upoznali s tvorcem Fourierovog reda, Josephom Fourierom. Linearne diferencijalne jednadžbe drugog reda podijeljene su na valnu, parabolicnu i eliptičnu te su opisana njihova svojstva i način rješavanja. Na koncu je razjašnjen kontekst primjene linearne parcijalne jednadžbe drugog reda u elektrotehnici.
Abstract (english)	This paper explains Fourier series, conditions of his existence and development of a function into a Fourier series. The conditions for the existence of the Fourier series or Dirichlet conditions are defined, as well as the way of extending half - range expansions to get desired series. We also met the creator of Fourier series, Joseph Fourier. Second order linear differential equations are divided into wave, parabolic and elliptic equations and their properties and methods of their solution are described. Finally, the context od the second - order linear partial equation in electrical engineering is clarified.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:190:295342
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Access restricted to students and staff of home institution
Terms of use
Repository	Repository of the University of Rijeka, Faculty of Engineering
Created on	2021-10-25 07:28:27