$Solving fractional diffusion equation using variational iteration method and adomian decomposition method$

Solving fractional diffusion equation using variational iteration method and adomian decomposition method

Fractional calculus has been used in many areas of sciences and technologies. This is the consequences of the elementary calculus. The order of the derivative in elementary calculus is integer, n. The nth derivative was changed to a for fractional calculus, where a is a fraction number or complex nu...

Full description

Saved in:

Bibliographic Details
Main Author:	Dzulkarnain, Norizkiah
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/47939/25/NorizkiahDzulkarnainMFS2013.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-utm-ep.47939
record_format	uketd_dc
spelling	my-utm-ep.479392017-07-13T04:10:57Z Solving fractional diffusion equation using variational iteration method and adomian decomposition method 2013-06 Dzulkarnain, Norizkiah Q Science (General) Fractional calculus has been used in many areas of sciences and technologies. This is the consequences of the elementary calculus. The order of the derivative in elementary calculus is integer, n. The nth derivative was changed to a for fractional calculus, where a is a fraction number or complex number. Fractional diffusion equation is one of the examples of fractional derivative equation. This study will focus on the solving fractional diffusion equation using variational iteration method and Adomian decomposition method to obtain an approximate solution to the fractional differential equation. Graphical output may explain further the results obtained. In certain problems the use of fractional differential equation gives more accurate representation rather than using elementary differential equation. Adomian decomposition method is easier in solving fractional diffusion equation since there is no nonlinear term in the equation. However, variational iteration method is more suitable to be applied in solving fractional derivative equation that consists of nonlinear term. 2013-06 Thesis http://eprints.utm.my/id/eprint/47939/ http://eprints.utm.my/id/eprint/47939/25/NorizkiahDzulkarnainMFS2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Dzulkarnain, Norizkiah Solving fractional diffusion equation using variational iteration method and adomian decomposition method
description	Fractional calculus has been used in many areas of sciences and technologies. This is the consequences of the elementary calculus. The order of the derivative in elementary calculus is integer, n. The nth derivative was changed to a for fractional calculus, where a is a fraction number or complex number. Fractional diffusion equation is one of the examples of fractional derivative equation. This study will focus on the solving fractional diffusion equation using variational iteration method and Adomian decomposition method to obtain an approximate solution to the fractional differential equation. Graphical output may explain further the results obtained. In certain problems the use of fractional differential equation gives more accurate representation rather than using elementary differential equation. Adomian decomposition method is easier in solving fractional diffusion equation since there is no nonlinear term in the equation. However, variational iteration method is more suitable to be applied in solving fractional derivative equation that consists of nonlinear term.
format	Thesis
qualification_level	Master's degree
author	Dzulkarnain, Norizkiah
author_facet	Dzulkarnain, Norizkiah
author_sort	Dzulkarnain, Norizkiah
title	Solving fractional diffusion equation using variational iteration method and adomian decomposition method
title_short	Solving fractional diffusion equation using variational iteration method and adomian decomposition method
title_full	Solving fractional diffusion equation using variational iteration method and adomian decomposition method
title_fullStr	Solving fractional diffusion equation using variational iteration method and adomian decomposition method
title_full_unstemmed	Solving fractional diffusion equation using variational iteration method and adomian decomposition method
title_sort	solving fractional diffusion equation using variational iteration method and adomian decomposition method
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/47939/25/NorizkiahDzulkarnainMFS2013.pdf
_version_	1747817268426833920

Solving fractional diffusion equation using variational iteration method and adomian decomposition method

Similar Items