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

Lee, Lai Soon (2000) Two And Three-Point Block Methods For Solving First Order Ordinary Differential Equations In Parallel. Masters thesis, Universiti Putra Malaysia.

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Abstract

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.

Item Type:Thesis (Masters)
Subject:Differential equations, Linear
Chairman Supervisor:Professor Mohamed Bin Suleiman, PhD
Call Number:FSAS 2000 6
Faculty or Institute:Faculty of Environmental Studies
ID Code:11408
Deposited By: Mohd Nezeri Mohamad
Deposited On:15 Jul 2011 10:57
Last Modified:11 May 2012 10:57

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