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

Baharom, Fairuz Bahirah (2017) Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method. Masters thesis, Universiti Tun Hussein Onn Malaysia.

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Abstract

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.

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User: Mrs. Sabarina Che Mat
Date Deposited: 30 Aug 2021 07:49
Last Modified: 30 Aug 2021 07:49
URI: http://eprints.uthm.edu.my/id/eprint/749

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