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Solving first order systems of ordinary differential equations using parallel R-point block method of variable step size and order


Omar, Zurni and Suleiman, Mohamed (2009) 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, 36 (1). pp. 9-23. ISSN 0125-2526

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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.

Item Type: Article
Uncontrolled Keywords: ordinary differential equations, first order systems, parallel, r-point block method, variable step size and order.
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Prof. Dr. Zurni Omar
Date Deposited: 07 Oct 2013 08:50
Last Modified: 19 Nov 2013 09:24
URI: http://repo.uum.edu.my/id/eprint/9263

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