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


Citation

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

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Thesis (Masters)
Subject: Differential equations, Linear
Call Number: FSAS 2000 6
Chairman Supervisor: Professor Mohamed Bin Suleiman, PhD
Divisions: Faculty of Environmental Studies
Depositing User: Mohd Nezeri Mohamad
Date Deposited: 15 Jul 2011 10:57
Last Modified: 11 May 2012 10:57
URI: http://psasir.upm.edu.my/id/eprint/11408
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