Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh

Ordinary Differential Equations with Initial Value Problems (IVP) are commonly used in almost every section such as in Engineering, Physics, and Mathematics. The problems regarding Differential Equations have arisen a lot in our field area. This research focuses on finding the best method between th...

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Main Author:	Salleh, Izani
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Difference equations Functional equations Delay differential equations Integral equations
Online Access:	https://ir.uitm.edu.my/id/eprint/96628/1/96628.pdf
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id	my-uitm-ir.96628
record_format	uketd_dc
spelling	my-uitm-ir.966282024-06-10T08:05:05Z Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh 2023 Salleh, Izani Difference equations. Functional equations. Delay differential equations. Integral equations Ordinary Differential Equations with Initial Value Problems (IVP) are commonly used in almost every section such as in Engineering, Physics, and Mathematics. The problems regarding Differential Equations have arisen a lot in our field area. This research focuses on finding the best method between the three methods which are Euler Method, Modified Euler Method, and Runge-Kutta Method to solve the Ordinary Differential Equation with IVP problems in a different order by reducing to the system of first-order. In this research, the differential equation with first-order, second-order, and third-order were used to determine the accuracy of the three methods. To determine the best method, all three methods’ error is calculated and compared by choosing which method produces the fewest values of error. The comparison shows Modified Euler is the best method in solving Ordinary Differential Equation with difference order than Euler and Runge Kutta. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96628/ https://ir.uitm.edu.my/id/eprint/96628/1/96628.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Ab Aziz, Amiruddin
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Ab Aziz, Amiruddin
topic	Difference equations Functional equations Delay differential equations Integral equations
spellingShingle	Difference equations Functional equations Delay differential equations Integral equations Salleh, Izani Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
description	Ordinary Differential Equations with Initial Value Problems (IVP) are commonly used in almost every section such as in Engineering, Physics, and Mathematics. The problems regarding Differential Equations have arisen a lot in our field area. This research focuses on finding the best method between the three methods which are Euler Method, Modified Euler Method, and Runge-Kutta Method to solve the Ordinary Differential Equation with IVP problems in a different order by reducing to the system of first-order. In this research, the differential equation with first-order, second-order, and third-order were used to determine the accuracy of the three methods. To determine the best method, all three methods’ error is calculated and compared by choosing which method produces the fewest values of error. The comparison shows Modified Euler is the best method in solving Ordinary Differential Equation with difference order than Euler and Runge Kutta.
format	Thesis
qualification_level	Bachelor degree
author	Salleh, Izani
author_facet	Salleh, Izani
author_sort	Salleh, Izani
title	Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
title_short	Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
title_full	Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
title_fullStr	Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
title_full_unstemmed	Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh
title_sort	comparison between euler method, modified euler method, and runge-kutta method for difference order of ordinary differential equation / izani salleh
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/96628/1/96628.pdf
_version_	1804890001021861888

Comparison between Euler method, modified Euler method, and Runge-Kutta method for difference order of Ordinary Differential Equation / Izani Salleh

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