Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin

Partitioning is a strategy for solving stiff systems of ordinary differential equations (ODEs) problems. There are two types of partitioning; intervalwise and componentwise partitioning. This thesis is focused only on intervalwise block partitioning (IBP) which the system of equations will initially...

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Main Author:	Mahayadin, Mahfuzah
Format:	Thesis
Language:	English
Published:	2014
Subjects:	Permutations. Combinations. Partitions
Online Access:	http://ir.uitm.edu.my/id/eprint/14000/ http://ir.uitm.edu.my/id/eprint/14000/1/TM_MAHFUZAH%20MAHAYADIN%20CS%2014_5.pdf

id	uitm-14000
recordtype	eprints
spelling	uitm-140002016-06-16T01:31:29Z http://ir.uitm.edu.my/id/eprint/14000/ Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin Mahayadin, Mahfuzah Permutations. Combinations. Partitions Partitioning is a strategy for solving stiff systems of ordinary differential equations (ODEs) problems. There are two types of partitioning; intervalwise and componentwise partitioning. This thesis is focused only on intervalwise block partitioning (IBP) which the system of equations will initially be treated as non-stiff subsystem and will be solved using Adams block method. Once an equation is identified as stiff, the whole system will be treated as stiff and will be solved using block Backward Differentiation Formulae (BBDF). This process will continue until the integration interval is completed. In addition, variable step size BBDF (VSBBDF) method using three points is derived in order to solve first order stiff ODEs. The partitioning strategy involved is based on Adams method formulae and VSBBDF formulae. A single code is developed based on variable step size IBP. The code is implemented using Microsoft Visual C++ 6.0 XP Version and compared with odelSs and ode23s which are run in MATLAB 7.8. The numerical results have shown that the partitioning strategy has performed well in term of computational time compared to VSBBDF and MATLAB ode solvers, odeISs and ode23s. It shows that them partitioning strategy can be an alternative method to solve first order stiff ODEs 2014 Thesis NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/14000/1/TM_MAHFUZAH%20MAHAYADIN%20CS%2014_5.pdf Mahayadin, Mahfuzah (2014) Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin. Masters thesis, Universiti Teknologi MARA.
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Teknologi MARA
building	UiTM Institutional Repository
collection	Online Access
language	English
topic	Permutations. Combinations. Partitions
spellingShingle	Permutations. Combinations. Partitions Mahayadin, Mahfuzah Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
description	Partitioning is a strategy for solving stiff systems of ordinary differential equations (ODEs) problems. There are two types of partitioning; intervalwise and componentwise partitioning. This thesis is focused only on intervalwise block partitioning (IBP) which the system of equations will initially be treated as non-stiff subsystem and will be solved using Adams block method. Once an equation is identified as stiff, the whole system will be treated as stiff and will be solved using block Backward Differentiation Formulae (BBDF). This process will continue until the integration interval is completed. In addition, variable step size BBDF (VSBBDF) method using three points is derived in order to solve first order stiff ODEs. The partitioning strategy involved is based on Adams method formulae and VSBBDF formulae. A single code is developed based on variable step size IBP. The code is implemented using Microsoft Visual C++ 6.0 XP Version and compared with odelSs and ode23s which are run in MATLAB 7.8. The numerical results have shown that the partitioning strategy has performed well in term of computational time compared to VSBBDF and MATLAB ode solvers, odeISs and ode23s. It shows that them partitioning strategy can be an alternative method to solve first order stiff ODEs
format	Thesis
author	Mahayadin, Mahfuzah
author_facet	Mahayadin, Mahfuzah
author_sort	Mahayadin, Mahfuzah
title	Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
title_short	Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
title_full	Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
title_fullStr	Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
title_full_unstemmed	Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin
title_sort	interval wise block partitioning using three points for solving stiff systems ordinary differential equations / mahfuzah mahayadin
publishDate	2014
url	http://ir.uitm.edu.my/id/eprint/14000/ http://ir.uitm.edu.my/id/eprint/14000/1/TM_MAHFUZAH%20MAHAYADIN%20CS%2014_5.pdf
first_indexed	2023-09-18T22:50:39Z
last_indexed	2023-09-18T22:50:39Z
_version_	1777417521152917504

Interval wise block partitioning using three points for solving stiff systems ordinary differential equations / Mahfuzah Mahayadin

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