Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel

This thesis concerns mainly in deriving new 2-point and 3-point block methods for solving a single equation of first order ODE directly using constant step size in both explicit and implicit methods. These methods, which calculate the numerical solution at more than one point simultaneously, are...

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Main Author:	Lee, Lai Soon
Format:	Thesis
Language:	English English
Published:	2000
Subjects:	Differential equations Linear
Online Access:	http://psasir.upm.edu.my/id/eprint/11408/1/FSAS_2000_6.pdf
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id	my-upm-ir.11408
record_format	uketd_dc
spelling	my-upm-ir.114082024-06-19T03:08:54Z Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel 2000-05 Lee, Lai Soon This thesis concerns mainly in deriving new 2-point and 3-point block methods for solving a single equation of first order ODE directly using constant step size in both explicit and implicit methods. These methods, which calculate the numerical solution at more than one point simultaneously, are suitable for parallel implementations.The programs of the methods employed are run on a shared memory Sequent Symmetry SE30 parallel computer. The numerical results show that the new methods reduce the total number of steps and execution time.The accuracy of the parallel block and I-point methods is comparable particularly when finer step size are used.The stability of the new methods also had been investigated. Differential equations, Linear 2000-05 Thesis http://psasir.upm.edu.my/id/eprint/11408/ http://psasir.upm.edu.my/id/eprint/11408/1/FSAS_2000_6.pdf text en public masters Universiti Putra Malaysia Differential equations, Linear Faculty of Environmental studies Suleiman, Mohamed English
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English English
advisor	Suleiman, Mohamed
topic	Differential equations Linear
spellingShingle	Differential equations Linear Lee, Lai Soon Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
description	This thesis concerns mainly in deriving new 2-point and 3-point block methods for solving a single equation of first order ODE directly using constant step size in both explicit and implicit methods. These methods, which calculate the numerical solution at more than one point simultaneously, are suitable for parallel implementations.The programs of the methods employed are run on a shared memory Sequent Symmetry SE30 parallel computer. The numerical results show that the new methods reduce the total number of steps and execution time.The accuracy of the parallel block and I-point methods is comparable particularly when finer step size are used.The stability of the new methods also had been investigated.
format	Thesis
qualification_level	Master's degree
author	Lee, Lai Soon
author_facet	Lee, Lai Soon
author_sort	Lee, Lai Soon
title	Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
title_short	Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
title_full	Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
title_fullStr	Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
title_full_unstemmed	Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel
title_sort	two and three-point block methods for solving first order ordinary differential equations in parallel
granting_institution	Universiti Putra Malaysia
granting_department	Faculty of Environmental studies
publishDate	2000
url	http://psasir.upm.edu.my/id/eprint/11408/1/FSAS_2000_6.pdf
_version_	1804888637174710272

Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel

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