UTHM Institutional Repository

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

Baharom, Fairuz Bahirah (2018) Solving the volterra integral form of lane emden equations by homotopy perturbation method and adomian decomposition method. Masters thesis, Universiti Tun Hussein Onn Malaysia.

[img]
Preview
Text
24 p fairuz bahirah baharom.pdf

Download (759kB) | Preview

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 > QA297 Numerical analysis. Analysis
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Sabarina Che Mat
Date Deposited: 02 Feb 2020 04:02
Last Modified: 02 Feb 2020 04:02
URI: http://eprints.uthm.edu.my/id/eprint/12096
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year