# Application of Runge - Kutta and Euler methods for ODE through examples

Kocaleva, Mirjana and Zlatanovska, Biljana and Stojkovic, Natasa and Stojanova, Aleksandra (2018) Application of Runge - Kutta and Euler methods for ODE through examples. In: International Conference on Information Technology and Development of Education – ITRO 2018, 29 June 2018, Zrenjanin, Republic of Serbia.

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36.Zbornik ITRO 2018-split-merge.pdf

Official URL: http://www.tfzr.rs/itro/Zbornik%20ITRO%202018.pdf

## Abstract

Differential equations are essential for a mathematical description of nature. A differential equation is an equation, where the unknown is a function and both the function and its derivatives may appear in the equation. We will concern on second order differential equation and on the system of two differential equations from first order. Second order differential equation is an equation involving the unknown function y, its derivatives y' and y'', and the variable x. We can solve differential equation with numerical methods such as Runge - Kutta and Euler. From literature it’s known that the Euler method is less accurate than the Runge-Kutta method. In this paper we examine two examples for differential equation and we will use Runge - Kutta and Euler methods to solve them. The examples are solved with mathematical software Mathematica by graphic representations and obtaining approximate values in tables, for better visualization for students who process these methods.

Item Type: Conference or Workshop Item (Paper) Natural sciences > Computer and information sciencesNatural sciences > Matematics Faculty of Computer Science Mirjana Kocaleva 03 Sep 2018 12:53 03 Sep 2018 12:53 http://eprints.ugd.edu.mk/id/eprint/20350

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