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undergraduate thesis
Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda
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

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

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

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

Mandić, L. (2021). 'Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:190:295342

Mandić L. Fourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:190:295342

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

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Metadata
TitleFourierova metoda rješavanja linearnih parcijalnih diferencijalnih jednadžbi drugog reda
Title (english)Fourier method for solving linear partial differential equations of the second order
AuthorLara Mandić
MentorIvan Dražić (mentor)
MentorViktor Sučić (komentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2021-07-07, 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)
Languagecroatian
URN:NBNurn:nbn:hr:190:295342
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 conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-10-25 07:28:27