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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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) |
|---|---|
| Subjects: | Natural sciences > Computer and information sciences Natural sciences > Matematics |
| Divisions: | Faculty of Computer Science |
| Depositing User: | Mirjana Kocaleva Vitanova |
| Date Deposited: | 03 Sep 2018 12:53 |
| Last Modified: | 03 Sep 2018 12:53 |
| URI: | https://eprints.ugd.edu.mk/id/eprint/20350 |
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