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New paralel R-point explicit block method for solving linear high-order ordinary differential equations directly


Omar, Zurni and Suleiman, Mohamed (2009) New paralel R-point explicit block method for solving linear high-order ordinary differential equations directly. Sains Malaysiana, 38 (2). pp. 227-231. ISSN 0126-6039

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Abstract

A new method called parallel R-point explicit block method for solving a single equation of higher order ordinary differential equation directly using a constant step size is developed. This method calculates the numerical solution at R point simultaneously and is parallel in nature. Computational advantages are presented by comparing the results obtained with the new method with that of the conventional 1-point method. The numerical results show that the new method reduces the total number of steps and execution time. The accuracy of the parallel block and the conventional 1-point method is comparable particularly when finer step sizes are used.

Item Type: Article
Uncontrolled Keywords: Parallel R-point explicit block method; high-order ordinary differential equations
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Prof. Dr. Zurni Omar
Date Deposited: 21 Feb 2011 02:05
Last Modified: 21 Feb 2011 02:05
URI: http://repo.uum.edu.my/id/eprint/2249

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