Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method

In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are...

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Main Author:	Baharom, Fairuz Bahirah
Format:	Thesis
Language:	English English English
Published:	2017
Subjects:	QA299.6-433 Analysis
Online Access:	http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf
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id	my-uthm-ep.749
record_format	uketd_dc
spelling	my-uthm-ep.7492021-08-30T07:49:15Z Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method 2017-01 Baharom, Fairuz Bahirah QA299.6-433 Analysis In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM. 2017-01 Thesis http://eprints.uthm.edu.my/749/ http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf text en public http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Fakulti Sains Gunaan dan Teknologi
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	QA299.6-433 Analysis
spellingShingle	QA299.6-433 Analysis Baharom, Fairuz Bahirah Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
description	In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Baharom, Fairuz Bahirah
author_facet	Baharom, Fairuz Bahirah
author_sort	Baharom, Fairuz Bahirah
title	Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
title_short	Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
title_full	Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
title_fullStr	Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
title_full_unstemmed	Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
title_sort	solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Fakulti Sains Gunaan dan Teknologi
publishDate	2017
url	http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf
_version_	1747830673609064448

Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method

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