Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin

Runge-Kutta (RK) method can be used to solve first order ordinary differential equation problem in the form of numerical method. Recently, researchers have developed many versions of Runge-Kutta method to increase its accuracy and efficiency. In this research, fourth order adaptive Runge-Kutta metho...

Full description

Saved in:

Bibliographic Details
Main Author:	Hazlin, Syauqina Nadia
Format:	Thesis
Language:	English
Published:	2020
Subjects:	Equations Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/40034/1/40034.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uitm-ir.40034
record_format	uketd_dc
spelling	my-uitm-ir.400342021-01-04T00:52:07Z Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin 2020-01 Hazlin, Syauqina Nadia Equations Mathematical statistics. Probabilities Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems Runge-Kutta (RK) method can be used to solve first order ordinary differential equation problem in the form of numerical method. Recently, researchers have developed many versions of Runge-Kutta method to increase its accuracy and efficiency. In this research, fourth order adaptive Runge-Kutta methods of Bogacki- Shampine, Cash-Karp, Runge-Kutta of Order Four and Runge-Kutta Fehlberg are used to solve six different first order ordinary differential equation problems using different step size and final solution point. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method based on error and central processing unit (CPU) time. 2020-01 Thesis https://ir.uitm.edu.my/id/eprint/40034/ https://ir.uitm.edu.my/id/eprint/40034/1/40034.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	Equations Equations Equations Analytical methods used in the solution of physical problems
spellingShingle	Equations Equations Equations Analytical methods used in the solution of physical problems Hazlin, Syauqina Nadia Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
description	Runge-Kutta (RK) method can be used to solve first order ordinary differential equation problem in the form of numerical method. Recently, researchers have developed many versions of Runge-Kutta method to increase its accuracy and efficiency. In this research, fourth order adaptive Runge-Kutta methods of Bogacki- Shampine, Cash-Karp, Runge-Kutta of Order Four and Runge-Kutta Fehlberg are used to solve six different first order ordinary differential equation problems using different step size and final solution point. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method based on error and central processing unit (CPU) time.
format	Thesis
qualification_level	Bachelor degree
author	Hazlin, Syauqina Nadia
author_facet	Hazlin, Syauqina Nadia
author_sort	Hazlin, Syauqina Nadia
title	Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
title_short	Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
title_full	Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
title_fullStr	Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
title_full_unstemmed	Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin
title_sort	solving first order ordinary differential equation using adaptive runge-kutta method / syauqina nadia hazlin
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2020
url	https://ir.uitm.edu.my/id/eprint/40034/1/40034.pdf
_version_	1783734554732789760

Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin

Similar Items