Chiang Mai Journal of Science, Faculty of Science, Chiang Mai University

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Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order

Paper Type	Contributed Paper
Title	Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order
Author	Zurni B. Omar, and Mohamed Suleiman
Email	* zurni@uum.edu.my ** m1suleiman@yahoo.com.my
Abstract: A new parallel method for solving first order systems of ordinary differential equations using variable step size and order (back value) is developed. The method, known as parallel R-point block method, calculates the numerical solution at more than one point simultaneously.The program of the method employed is run on a shared memory Sequent Symmetry S27 parallel computer. Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. It is also discovered that the accuracy of the parallel r-point block method and the 1-point method is comparable particularly when finer tolerances are used.
Start & End Page	1 - 13
Received Date	2008-08-14
Revised Date
Accepted Date	2009-05-25
Full Text	Download
Keyword	Ordinary differential equations, first order systems, parallel, r-point block method, variable step size and order
Volume	Vol.37 No.1 (JANUARY 2010)
DOI
Citation	Omar Z.B., and Suleiman M., Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order, Chiang Mai Journal of Science, 2010; 37(1): 1-13.
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Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order

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