Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan

Most problems in engineering and science field can be in the form of ordinary differential equations. In addition, the solution of ordinary differential equations problem can be solved either in theoretical and numerical methods. The theoretical method is known to have their difficulty in solving or...

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Main Author:	Mohamad Ruslan, Nurul Ain Nasuha
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/41319/1/41319.pdf
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id	my-uitm-ir.41319
record_format	uketd_dc
spelling	my-uitm-ir.413192021-02-04T09:35:18Z Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan 2018-07 Mohamad Ruslan, Nurul Ain Nasuha Mathematical statistics. Probabilities Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Most problems in engineering and science field can be in the form of ordinary differential equations. In addition, the solution of ordinary differential equations problem can be solved either in theoretical and numerical methods. The theoretical method is known to have their difficulty in solving ordinary differential equations problem whereas this method requires a substantial amount of laborious work and it is complicated. Therefore, a numerical method is preferable to be used such as Runge- Kutta methods. Runge-Kutta is widely used by many researchers for solving the ordinary differential equation in initial value problem. Some methods to be used to solve ordinary differential equation are Second Order Runge-Kutta method (RK2), Third Order Runge-Kutta method (RK3), Fourth Order Runge-Kutta method (RK4), Runge-Kutta Fehlberg method (RKF) and Fifth Order Runge-Kutta method (RK5). The purpose of this research is to identify which method is most efficient based on its errors and computation time. The results of the numerical solution are compared with a theoretical solution. The result shows that RK2 has the less computation time but less accuracy while RK5 has the highest computation time but high accuracy. 2018-07 Thesis https://ir.uitm.edu.my/id/eprint/41319/ https://ir.uitm.edu.my/id/eprint/41319/1/41319.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohd Ali, Mohd Rivaie
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohd Ali, Mohd Rivaie
topic	Mathematical statistics Probabilities Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Finite element method
spellingShingle	Mathematical statistics Probabilities Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Finite element method Mohamad Ruslan, Nurul Ain Nasuha Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
description	Most problems in engineering and science field can be in the form of ordinary differential equations. In addition, the solution of ordinary differential equations problem can be solved either in theoretical and numerical methods. The theoretical method is known to have their difficulty in solving ordinary differential equations problem whereas this method requires a substantial amount of laborious work and it is complicated. Therefore, a numerical method is preferable to be used such as Runge- Kutta methods. Runge-Kutta is widely used by many researchers for solving the ordinary differential equation in initial value problem. Some methods to be used to solve ordinary differential equation are Second Order Runge-Kutta method (RK2), Third Order Runge-Kutta method (RK3), Fourth Order Runge-Kutta method (RK4), Runge-Kutta Fehlberg method (RKF) and Fifth Order Runge-Kutta method (RK5). The purpose of this research is to identify which method is most efficient based on its errors and computation time. The results of the numerical solution are compared with a theoretical solution. The result shows that RK2 has the less computation time but less accuracy while RK5 has the highest computation time but high accuracy.
format	Thesis
qualification_level	Bachelor degree
author	Mohamad Ruslan, Nurul Ain Nasuha
author_facet	Mohamad Ruslan, Nurul Ain Nasuha
author_sort	Mohamad Ruslan, Nurul Ain Nasuha
title	Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
title_short	Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
title_full	Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
title_fullStr	Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
title_full_unstemmed	Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan
title_sort	runge-kutta version for solving first order ordinary differential equation / nurul ain nasuha mohamad ruslan
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2018
url	https://ir.uitm.edu.my/id/eprint/41319/1/41319.pdf
_version_	1783734625262108672

Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan

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