Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations

Fractional partial differential equations (FPDEs) are highly effective and powerful tools for modeling problems in engineering, physics, and other fields because of their non-local properties. Most FPDEs can not solved analytically. Therefore, developing accurate, efficient, stable, and easy-to-im...

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Main Author:	Balasim, Alla Tareq
Format:	Thesis
Language:	English
Published:	2017
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/47935/1/FRACTIONAL%20GROUP%20ITERATIVE%20METHODS.pdf%20cut.pdf
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id	my-usm-ep.47935
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spelling	my-usm-ep.479352020-11-25T02:22:35Z Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations 2017-11 Balasim, Alla Tareq QA1 Mathematics (General) Fractional partial differential equations (FPDEs) are highly effective and powerful tools for modeling problems in engineering, physics, and other fields because of their non-local properties. Most FPDEs can not solved analytically. Therefore, developing accurate, efficient, stable, and easy-to-implement methods is an important task. To date, ample numerical methods have been proposed for solving the time and/or space FPDEs, such as the finite difference and finite element methods. A large and sparse system of linear equations will arise when FPDEs are discretised using certain discretisation schemes based on finite element or finite difference methods which requires a considerable amount of execution time since earlier solutions have to be saved if the current solution is to be computed. This thesis focuses on the development of new, accurate, efficient, and fast numerical methods for solving FPDEs. 2017-11 Thesis http://eprints.usm.my/47935/ http://eprints.usm.my/47935/1/FRACTIONAL%20GROUP%20ITERATIVE%20METHODS.pdf%20cut.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik (School of Mathematical Sciences)
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Balasim, Alla Tareq Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
description	Fractional partial differential equations (FPDEs) are highly effective and powerful tools for modeling problems in engineering, physics, and other fields because of their non-local properties. Most FPDEs can not solved analytically. Therefore, developing accurate, efficient, stable, and easy-to-implement methods is an important task. To date, ample numerical methods have been proposed for solving the time and/or space FPDEs, such as the finite difference and finite element methods. A large and sparse system of linear equations will arise when FPDEs are discretised using certain discretisation schemes based on finite element or finite difference methods which requires a considerable amount of execution time since earlier solutions have to be saved if the current solution is to be computed. This thesis focuses on the development of new, accurate, efficient, and fast numerical methods for solving FPDEs.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Balasim, Alla Tareq
author_facet	Balasim, Alla Tareq
author_sort	Balasim, Alla Tareq
title	Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
title_short	Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
title_full	Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
title_fullStr	Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
title_full_unstemmed	Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
title_sort	fractional group iterative methods for two dimensional time-fractional differential equations
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik (School of Mathematical Sciences)
publishDate	2017
url	http://eprints.usm.my/47935/1/FRACTIONAL%20GROUP%20ITERATIVE%20METHODS.pdf%20cut.pdf
_version_	1747821851984265216

Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations

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