Numeričke metode za rješavanje nelinearnih jednadžbi

undergraduate thesis

• Title (english): Numerical methods for solving nonlinear equations
• Author: Mario Žderić
• Mentor: Erna Begović Kovač (mentor)
• Committee member: Erna Begović Kovač (predsjednik povjerenstva)
• Committee member: Iva Movre Šapić (član povjerenstva)
• Committee member: Vesna Tomašić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Chemical Engineering and Technology; Zagreb
• Defense date and country: 2022-09-20, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Cilj ovog rada jest prikazati tri osnovne metode za rješavanje nelinearnih jednadžbi - metodu bisekcije, metodu sekante i Newtonovu metodu. Pomoću svake od obrađenih metoda na nekoliko numeričkih primjera prikazan je postupak određivanja približnog rješenja na dva načina, uz zadani broj iteracija te uz dozvoljeno odstupanje. Prilikom provođenja iterativnih postupaka za određivanje približnog rješenja zadanih nelinearnih jednadžbi korišten je programski paket MATLAB.

Abstract (english)

The aim of this thesis is to present three basic numerical methods for solving nonlinear equations - bisection method, secant method and Newton´s method. The procedure of finding an approximate solution using all three methods with a predefined number of iterations or degree of accuracy is illustrated on several numerical examples. During implementation of iterative procedures for determining approximate solutions given nonlinear equations is used software package MATLAB.

• Keywords: nelinearne jednadžbe; približno rješenje; metoda bisekcije; Newtonova metoda; metoda sekante; broj iteracija; dozvoljeno odstupanje
• Keywords (english): nonlinear equations; approximate solution; bisection method; Newton´s method; secant method; number of iterations; allowed tolerance
• Language: croatian
• URN:NBN: urn:nbn:hr:149:526119
• Study programme: Title: Chemical Engineering - Undergraduate study; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka kemijskog inženjerstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka kemijskog inženjerstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Access restricted to students and staff of home institution
• Created on: 2023-03-15 09:56:42