The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh

This study is about making prediction of the depth of liquid in spherical tank by using Newton-Raphson Method and Secant Method. Since the Newton-Raphson Method is the most widely used of all root-locating and Secant Method is simplicity and efficiency, this problem is the one of the applications th...

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Main Author: Md Salleh, Nur Syafiqah
Format: Thesis
Language:English
Published: 2023
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Online Access:https://ir.uitm.edu.my/id/eprint/97731/1/97731.pdf
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spelling my-uitm-ir.977312024-07-27T17:24:22Z The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh 2023 Md Salleh, Nur Syafiqah Mathematical statistics. Probabilities This study is about making prediction of the depth of liquid in spherical tank by using Newton-Raphson Method and Secant Method. Since the Newton-Raphson Method is the most widely used of all root-locating and Secant Method is simplicity and efficiency, this problem is the one of the applications that we can solve in engineering fields. The approximate difference between Newton method and Secant method is the same which is 3.6479 or 3.648 to three decimal places. Therefore, even though the two methods are different, it can be claimed that they both provide the same estimate. The number of iterations required to meet the convergence criterion is the only distinction between these two approaches. Discovered that the Newton method converges quicker than the Secant method, according to the three ways that have been tested to determine which method converges most quickly. 2023 Thesis https://ir.uitm.edu.my/id/eprint/97731/ https://ir.uitm.edu.my/id/eprint/97731/1/97731.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Mohamed, Zamzulani
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Mohamed, Zamzulani
topic Mathematical statistics
Probabilities
spellingShingle Mathematical statistics
Probabilities
Md Salleh, Nur Syafiqah
The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
description This study is about making prediction of the depth of liquid in spherical tank by using Newton-Raphson Method and Secant Method. Since the Newton-Raphson Method is the most widely used of all root-locating and Secant Method is simplicity and efficiency, this problem is the one of the applications that we can solve in engineering fields. The approximate difference between Newton method and Secant method is the same which is 3.6479 or 3.648 to three decimal places. Therefore, even though the two methods are different, it can be claimed that they both provide the same estimate. The number of iterations required to meet the convergence criterion is the only distinction between these two approaches. Discovered that the Newton method converges quicker than the Secant method, according to the three ways that have been tested to determine which method converges most quickly.
format Thesis
qualification_level Bachelor degree
author Md Salleh, Nur Syafiqah
author_facet Md Salleh, Nur Syafiqah
author_sort Md Salleh, Nur Syafiqah
title The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
title_short The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
title_full The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
title_fullStr The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
title_full_unstemmed The comparison between Newton-Raphson Method and Secant Method in predicting the depth of liquid in spherical tank / Nur Syafiqah Md Salleh
title_sort comparison between newton-raphson method and secant method in predicting the depth of liquid in spherical tank / nur syafiqah md salleh
granting_institution Universiti Teknologi MARA, Terengganu
granting_department College of Computing, Informatics and Mathematics
publishDate 2023
url https://ir.uitm.edu.my/id/eprint/97731/1/97731.pdf
_version_ 1811768874790551552