Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar

Second order differential equation play a prominent role in many disciplines including engineering, physics, economics, and biology. Theoretically, solving second order differential equation is to reduce it to first order and zero order differential equation which lead to laborious work of calculati...

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Main Authors:	Abdul Kadir, Khalidatunnur Fadhilah, Abdul Ghafar, Nurul Ilyana
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Differential equations Runge-Kutta formulas Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/40225/1/40225.pdf
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id	my-uitm-ir.40225
record_format	uketd_dc
spelling	my-uitm-ir.402252021-01-07T07:26:06Z Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar 2019-07 Abdul Kadir, Khalidatunnur Fadhilah Abdul Ghafar, Nurul Ilyana Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Second order differential equation play a prominent role in many disciplines including engineering, physics, economics, and biology. Theoretically, solving second order differential equation is to reduce it to first order and zero order differential equation which lead to laborious work of calculation. To overcome this problem, researcher tends to use numerical method. Therefore, this research present Second Order (Modified Euler, Improved Euler), Fourth Order (Classical, Butcher-Johnson) and Sixth Order (Butcher-1, Butcher-2) Runge Kutta for solving differential equation problem numerically. To determine the most efficient numerical method, the numerical solutions are compared with the theoretical solutions in terms of accuracy and CPU time with different step sizes. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/40225/ https://ir.uitm.edu.my/id/eprint/40225/1/40225.pdf text en public degree Universiti Teknologi MARA, Terengganu 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 Abdul Kadir, Khalidatunnur Fadhilah Abdul Ghafar, Nurul Ilyana Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
description	Second order differential equation play a prominent role in many disciplines including engineering, physics, economics, and biology. Theoretically, solving second order differential equation is to reduce it to first order and zero order differential equation which lead to laborious work of calculation. To overcome this problem, researcher tends to use numerical method. Therefore, this research present Second Order (Modified Euler, Improved Euler), Fourth Order (Classical, Butcher-Johnson) and Sixth Order (Butcher-1, Butcher-2) Runge Kutta for solving differential equation problem numerically. To determine the most efficient numerical method, the numerical solutions are compared with the theoretical solutions in terms of accuracy and CPU time with different step sizes.
format	Thesis
qualification_level	Bachelor degree
author	Abdul Kadir, Khalidatunnur Fadhilah Abdul Ghafar, Nurul Ilyana
author_facet	Abdul Kadir, Khalidatunnur Fadhilah Abdul Ghafar, Nurul Ilyana
author_sort	Abdul Kadir, Khalidatunnur Fadhilah
title	Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
title_short	Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
title_full	Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
title_fullStr	Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
title_full_unstemmed	Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar
title_sort	solving second order ordinary differential equation using runge-kutta method / khalidatunnur fadhilah abdul kadir and nurul ilyana abdul ghafar
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40225/1/40225.pdf
_version_	1783734569671852032

Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar

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