An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail

Ordinary differential equations (ODE) are one of the important and widely used techniques in mathematical modelling. This method requires finding the solution theoretically. However, some of the theoretical method uses to find the solutions are extremely complicated. Least Square method is one of th...

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Main Author:	Mohd Faizail, Nurun Najwa
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Mathematical statistics Probabilities Data processing Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/39976/1/39976.pdf
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id	my-uitm-ir.39976
record_format	uketd_dc
spelling	my-uitm-ir.399762020-12-31T02:07:38Z An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail 2018-07 Mohd Faizail, Nurun Najwa Mathematical statistics. Probabilities Data processing Analytical methods used in the solution of physical problems Ordinary differential equations (ODE) are one of the important and widely used techniques in mathematical modelling. This method requires finding the solution theoretically. However, some of the theoretical method uses to find the solutions are extremely complicated. Least Square method is one of the numerical methods that can be used for finding an approximation for the solution of ODE without solving it theoretically. However, this method requires finding the inverse of matrix which sometime does not exist for a singular matrix. Thus, to avoid this problem Steepest Descent method is used together with Least Square method. This research analyses the efficiency of least square method and Steepest Descent method for the approximation of ODE solution numerically compared to the theoretical solution. Result shows that the numerical solution approximation is comparable to the theoretical solution without finding the true solution. 2018-07 Thesis https://ir.uitm.edu.my/id/eprint/39976/ https://ir.uitm.edu.my/id/eprint/39976/1/39976.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 Data processing Analytical methods used in the solution of physical problems
spellingShingle	Mathematical statistics Probabilities Data processing Analytical methods used in the solution of physical problems Mohd Faizail, Nurun Najwa An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
description	Ordinary differential equations (ODE) are one of the important and widely used techniques in mathematical modelling. This method requires finding the solution theoretically. However, some of the theoretical method uses to find the solutions are extremely complicated. Least Square method is one of the numerical methods that can be used for finding an approximation for the solution of ODE without solving it theoretically. However, this method requires finding the inverse of matrix which sometime does not exist for a singular matrix. Thus, to avoid this problem Steepest Descent method is used together with Least Square method. This research analyses the efficiency of least square method and Steepest Descent method for the approximation of ODE solution numerically compared to the theoretical solution. Result shows that the numerical solution approximation is comparable to the theoretical solution without finding the true solution.
format	Thesis
qualification_level	Bachelor degree
author	Mohd Faizail, Nurun Najwa
author_facet	Mohd Faizail, Nurun Najwa
author_sort	Mohd Faizail, Nurun Najwa
title	An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
title_short	An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
title_full	An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
title_fullStr	An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
title_full_unstemmed	An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail
title_sort	application of least square method and steepest descent method for solving second order differential equation / nurun najwa mohd faizail
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2018
url	https://ir.uitm.edu.my/id/eprint/39976/1/39976.pdf
_version_	1783734548828258304

An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail

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