Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind

Nonlinear phenomena’s that appear in many applications in science fields such as fluid dynamic, plasma physics, mathematical biology and chemical kinetics can be modeled by integral equation. Nonlinear integral equation usually produces a considerable amount of difficulties. This problem can be hand...

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Main Author:	Wan Mohammad Ayub, Wan Seri Nurulhuda
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/33072/1/WanSeriNurulhudaMFS2013.pdf
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id	my-utm-ep.33072
record_format	uketd_dc
spelling	my-utm-ep.330722017-09-18T07:22:01Z Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind 2013-01 Wan Mohammad Ayub, Wan Seri Nurulhuda QA Mathematics Nonlinear phenomena’s that appear in many applications in science fields such as fluid dynamic, plasma physics, mathematical biology and chemical kinetics can be modeled by integral equation. Nonlinear integral equation usually produces a considerable amount of difficulties. This problem can be handling with some method such as Adomian decomposition method (ADM) and modified Adomian decomposition method (MADM). In this research, ADM and MADM are applied to solve two-dimensional nonlinear Fredholm integral equation of the second kind (FIE). We used ADM to find the exact solution and MADM to find the numerical approximation. From the observation with some example are presented in this research, the first five terms convergent numerical approximations give the good approximation. 2013-01 Thesis http://eprints.utm.my/id/eprint/33072/ http://eprints.utm.my/id/eprint/33072/1/WanSeriNurulhudaMFS2013.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	QA Mathematics
spellingShingle	QA Mathematics Wan Mohammad Ayub, Wan Seri Nurulhuda Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
description	Nonlinear phenomena’s that appear in many applications in science fields such as fluid dynamic, plasma physics, mathematical biology and chemical kinetics can be modeled by integral equation. Nonlinear integral equation usually produces a considerable amount of difficulties. This problem can be handling with some method such as Adomian decomposition method (ADM) and modified Adomian decomposition method (MADM). In this research, ADM and MADM are applied to solve two-dimensional nonlinear Fredholm integral equation of the second kind (FIE). We used ADM to find the exact solution and MADM to find the numerical approximation. From the observation with some example are presented in this research, the first five terms convergent numerical approximations give the good approximation.
format	Thesis
qualification_level	Master's degree
author	Wan Mohammad Ayub, Wan Seri Nurulhuda
author_facet	Wan Mohammad Ayub, Wan Seri Nurulhuda
author_sort	Wan Mohammad Ayub, Wan Seri Nurulhuda
title	Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
title_short	Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
title_full	Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
title_fullStr	Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
title_full_unstemmed	Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
title_sort	adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/33072/1/WanSeriNurulhudaMFS2013.pdf
_version_	1747816072793292800

Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind

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