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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:http://ir.uitm.edu.my/id/eprint/39976/1/39976.pdf
http://ir.uitm.edu.my/id/eprint/39976/
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id my.uitm.ir.39976
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spelling my.uitm.ir.399762020-12-31T02:07:38Z http://ir.uitm.edu.my/id/eprint/39976/ An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail 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 NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/39976/1/39976.pdf Mohd Faizail, Nurun Najwa (2018) An application of Least Square method and Steepest Descent method for solving second order differential equation / Nurun Najwa Mohd Faizail. Degree thesis, Universiti Teknologi MARA.
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
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
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
publishDate 2018
url http://ir.uitm.edu.my/id/eprint/39976/1/39976.pdf
http://ir.uitm.edu.my/id/eprint/39976/
_version_ 1688550909036986368
score 13.211869

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