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Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim

In this research, the Homotopy Analysis Method (HAM) was studied and had been em­ployed to obtain the approximate analytical solution of non-linear of Couple-Burgers Equation and Pomberg-Whitman Equation. When applied to non-linear equation the numerical result revealed that this method was more acc...

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Main Authors: Mohtar, Nur Saadah, Abdul Karim, Syarifah Nur Ainina Said
Format: Student Project
Language:English
Published: 2018
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110581/1/110581.pdf
https://ir.uitm.edu.my/id/eprint/110581/
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spelling my.uitm.ir.1105812025-02-25T09:25:24Z https://ir.uitm.edu.my/id/eprint/110581/ Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim Mohtar, Nur Saadah Abdul Karim, Syarifah Nur Ainina Said Study and teaching Equations Analysis In this research, the Homotopy Analysis Method (HAM) was studied and had been em­ployed to obtain the approximate analytical solution of non-linear of Couple-Burgers Equation and Pomberg-Whitman Equation. When applied to non-linear equation the numerical result revealed that this method was more accurate, reliable and easy to implement. This was because of some limitations that appeared in other methods. Some other perturbation methods could only be solved based on small convergence region and was only valid for small parameter. By using Homotopy Analysis Method (HAM) we could choose the auxiliary parameter so that the zero-order and higher-order deformation equation could be obtained. Then two examples which are Couple-Burger Equation and Pomberg-Whitham Equation were applied. The final result that was reported by HAM is compared with the exact solution and Adomian Decompo­sition Method (ADM). The solution then was graphed using Maple software. Corresponding to it, it was found that the Homotopy Analysis Method was more accurate and effective compare to Adomian Decomposition Method that obtained by previously published work for validation. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110581/1/110581.pdf Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim. (2018) [Student Project] <http://terminalib.uitm.edu.my/110581.pdf> (Unpublished)
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 Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Mohtar, Nur Saadah
Abdul Karim, Syarifah Nur Ainina Said
Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
description In this research, the Homotopy Analysis Method (HAM) was studied and had been em­ployed to obtain the approximate analytical solution of non-linear of Couple-Burgers Equation and Pomberg-Whitman Equation. When applied to non-linear equation the numerical result revealed that this method was more accurate, reliable and easy to implement. This was because of some limitations that appeared in other methods. Some other perturbation methods could only be solved based on small convergence region and was only valid for small parameter. By using Homotopy Analysis Method (HAM) we could choose the auxiliary parameter so that the zero-order and higher-order deformation equation could be obtained. Then two examples which are Couple-Burger Equation and Pomberg-Whitham Equation were applied. The final result that was reported by HAM is compared with the exact solution and Adomian Decompo­sition Method (ADM). The solution then was graphed using Maple software. Corresponding to it, it was found that the Homotopy Analysis Method was more accurate and effective compare to Adomian Decomposition Method that obtained by previously published work for validation.
format Student Project
author Mohtar, Nur Saadah
Abdul Karim, Syarifah Nur Ainina Said
author_facet Mohtar, Nur Saadah
Abdul Karim, Syarifah Nur Ainina Said
author_sort Mohtar, Nur Saadah
title Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
title_short Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
title_full Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
title_fullStr Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
title_full_unstemmed Technical report: solving nonlinear equation by using Homotopy Analysis Method (HAM) / Nur Saadah Mohtar and Syarifah Nur Ainina Said Abdul Karim
title_sort technical report: solving nonlinear equation by using homotopy analysis method (ham) / nur saadah mohtar and syarifah nur ainina said abdul karim
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/110581/1/110581.pdf
https://ir.uitm.edu.my/id/eprint/110581/
_version_ 1825165204697120768
score 13.239859

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