Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri

Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, B...

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Main Authors:	Mohamad Taufik, Nur Ardini, Syed Basri, Sharifah Hazirah
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Differential equations Runge-Kutta formulas Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/39274/1/39274.pdf
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id	my-uitm-ir.39274
record_format	uketd_dc
spelling	my-uitm-ir.392742020-12-15T05:38:16Z Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri 2019-07 Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, Butcher - 3 and Luther), RK 7 and RK 8 are used to solve different ordinary differential equation problems with different step size. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/39274/ https://ir.uitm.edu.my/id/eprint/39274/1/39274.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	Differential equations Runge-Kutta formulas Differential equations Runge-Kutta formulas Finite element method
spellingShingle	Differential equations Runge-Kutta formulas Differential equations Runge-Kutta formulas Finite element method Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
description	Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, Butcher - 3 and Luther), RK 7 and RK 8 are used to solve different ordinary differential equation problems with different step size. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method.
format	Thesis
qualification_level	Bachelor degree
author	Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah
author_facet	Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah
author_sort	Mohamad Taufik, Nur Ardini
title	Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
title_short	Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
title_full	Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
title_fullStr	Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
title_full_unstemmed	Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
title_sort	solving first order ordinary differential equation using higher order runge - kutta method / nur ardini mohamad taufik & sharifah hazirah syed basri
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/39274/1/39274.pdf
_version_	1783734500074717184

Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri

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