Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/187621
Title: | Integració numèrica d'EDOs |
Author: | Pech Alberich, Antoni |
Director/Tutor: | Bosch Gual, Miquel |
Keywords: | Anàlisi numèrica Treballs de fi de grau Equacions diferencials ordinàries Problemes de valor inicial Numerical analysis Bachelor's theses Ordinary differential equations Initial value problems |
Issue Date: | 24-Jan-2022 |
Abstract: | [en] The goal of this work is to study several methods for solving initial value problems in ordinary differential equations (ODEs). Particularly, we focus on the most common one-step methods, Euler, Heun and Runge-Kutta. In addition, we will prove some classic theorems about the convergence of general one-step methods and their order of error. After that, we apply numerical integration to analyse a case study which proposes a socio-economic model of the interaction among three social classes to predict the raises and falls of civilisations. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Miquel Bosch Gual |
URI: | http://hdl.handle.net/2445/187621 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_pech_alberich_antoni.pdf | Memòria | 3.35 MB | Adobe PDF | View/Open |
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