An approximation to the solution of hyperbolic equation by homotopy analysis method

In this research, Homotopy Analysis Method (HAM) is a analytical method that be used to obtained the approximation solution of hyperbolic equation. Hyperbolic equation is a one of the class of Partial Differential Equation (PDE). PDE is one of the basic areas of applied analysis, and it is difficult...

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Main Author:	Ismail, Siti Hajar
Format:	Thesis
Language:	English English
Published:	2018
Subjects:	QA299.6-433 Analysis
Online Access:	http://eprints.uthm.edu.my/328/1/24%20p%20SITI%20HAJAR%20ISMAIL.pdf http://eprints.uthm.edu.my/328/2/SITI%20HAJAR%20ISMAIL%20WATERMARK.pdf
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spelling	my-uthm-ep.3282021-07-21T04:54:24Z An approximation to the solution of hyperbolic equation by homotopy analysis method 2018-01 Ismail, Siti Hajar QA299.6-433 Analysis In this research, Homotopy Analysis Method (HAM) is a analytical method that be used to obtained the approximation solution of hyperbolic equation. Hyperbolic equation is a one of the class of Partial Differential Equation (PDE). PDE is one of the basic areas of applied analysis, and it is difficult to imagine any area of applications where its impact is not felt. In recent decades, there has been tremendous emphasis on understanding and modelling nonlinear processes by using nonlinear PDE. Basically the nonlinear PDE is difficult to solve compare to linear PDE. So, HAM is introduced to solve hyperbolic equation for both linear and nonlinear equation. The auxiliary parameter ~ in the HAM solutions has provided a convenient way of controlling the convergence region of series solution. This method is reliable and manageable to get the approximation solution.The optimum approximation solution of nonlinear hyperbolic equation can be easier obtain by HAM due to it always provides a family of solution expressions in the auxiliary parameter and the convergence. It shown that in HAM even different numbers of auxiliary parameter, ~ is used, the approximation solution still converge to the exact solution. 2018-01 Thesis http://eprints.uthm.edu.my/328/ http://eprints.uthm.edu.my/328/1/24%20p%20SITI%20HAJAR%20ISMAIL.pdf text en public http://eprints.uthm.edu.my/328/2/SITI%20HAJAR%20ISMAIL%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Faculty of Applied Sciences and Technology
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English
topic	QA299.6-433 Analysis
spellingShingle	QA299.6-433 Analysis Ismail, Siti Hajar An approximation to the solution of hyperbolic equation by homotopy analysis method
description	In this research, Homotopy Analysis Method (HAM) is a analytical method that be used to obtained the approximation solution of hyperbolic equation. Hyperbolic equation is a one of the class of Partial Differential Equation (PDE). PDE is one of the basic areas of applied analysis, and it is difficult to imagine any area of applications where its impact is not felt. In recent decades, there has been tremendous emphasis on understanding and modelling nonlinear processes by using nonlinear PDE. Basically the nonlinear PDE is difficult to solve compare to linear PDE. So, HAM is introduced to solve hyperbolic equation for both linear and nonlinear equation. The auxiliary parameter ~ in the HAM solutions has provided a convenient way of controlling the convergence region of series solution. This method is reliable and manageable to get the approximation solution.The optimum approximation solution of nonlinear hyperbolic equation can be easier obtain by HAM due to it always provides a family of solution expressions in the auxiliary parameter and the convergence. It shown that in HAM even different numbers of auxiliary parameter, ~ is used, the approximation solution still converge to the exact solution.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Ismail, Siti Hajar
author_facet	Ismail, Siti Hajar
author_sort	Ismail, Siti Hajar
title	An approximation to the solution of hyperbolic equation by homotopy analysis method
title_short	An approximation to the solution of hyperbolic equation by homotopy analysis method
title_full	An approximation to the solution of hyperbolic equation by homotopy analysis method
title_fullStr	An approximation to the solution of hyperbolic equation by homotopy analysis method
title_full_unstemmed	An approximation to the solution of hyperbolic equation by homotopy analysis method
title_sort	approximation to the solution of hyperbolic equation by homotopy analysis method
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Faculty of Applied Sciences and Technology
publishDate	2018
url	http://eprints.uthm.edu.my/328/1/24%20p%20SITI%20HAJAR%20ISMAIL.pdf http://eprints.uthm.edu.my/328/2/SITI%20HAJAR%20ISMAIL%20WATERMARK.pdf
_version_	1747830583531143168

An approximation to the solution of hyperbolic equation by homotopy analysis method

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