Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang

Most problems in engineering and science field involved finding the solution of an ordinary differential equations. This solution can be obtained exactly by theoretical method or approximately using numerical method. Theoretical method is known to be complicated and required laborious amount of work...

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Main Authors:	Ramlan, Nur Zahirah, Awang, Velary Baun
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Equations Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/40120/1/40120.pdf
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id	my-uitm-ir.40120
record_format	uketd_dc
spelling	my-uitm-ir.401202021-01-06T09:33:22Z Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang 2019 Ramlan, Nur Zahirah Awang, Velary Baun Equations Mathematical statistics. Probabilities Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems Most problems in engineering and science field involved finding the solution of an ordinary differential equations. This solution can be obtained exactly by theoretical method or approximately using numerical method. Theoretical method is known to be complicated and required laborious amount of work. Adams-Bashforth method is a numerical method to approximate the solution of differential equation. This method is also known as a multistep method that requires the use of other numerical methods at the first few steps depending on its step. In this research, Adams-Bashforth method in the form of Two-Step, Three-Step, Four-Step, and Five-Step together with Fourth Order Runge-Kutta method are used to estimate the solution of first-order ordinary differential equations. The aim of this research is to compare the efficiency between different version of Adams-Bashforth multistep method in terms of central processing unit (CPU) time and error analysis. 2019 Thesis https://ir.uitm.edu.my/id/eprint/40120/ https://ir.uitm.edu.my/id/eprint/40120/1/40120.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 Ramlan, Nur Zahirah Awang, Velary Baun Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
description	Most problems in engineering and science field involved finding the solution of an ordinary differential equations. This solution can be obtained exactly by theoretical method or approximately using numerical method. Theoretical method is known to be complicated and required laborious amount of work. Adams-Bashforth method is a numerical method to approximate the solution of differential equation. This method is also known as a multistep method that requires the use of other numerical methods at the first few steps depending on its step. In this research, Adams-Bashforth method in the form of Two-Step, Three-Step, Four-Step, and Five-Step together with Fourth Order Runge-Kutta method are used to estimate the solution of first-order ordinary differential equations. The aim of this research is to compare the efficiency between different version of Adams-Bashforth multistep method in terms of central processing unit (CPU) time and error analysis.
format	Thesis
qualification_level	Bachelor degree
author	Ramlan, Nur Zahirah Awang, Velary Baun
author_facet	Ramlan, Nur Zahirah Awang, Velary Baun
author_sort	Ramlan, Nur Zahirah
title	Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
title_short	Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
title_full	Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
title_fullStr	Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
title_full_unstemmed	Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang
title_sort	solving first order ordinary differential equation using explicit multistep adams-bashforth method / nur zahirah ramlan and velary baun anak awang
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40120/1/40120.pdf
_version_	1783734562754396160

Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang

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