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:	https://repo.uum.edu.my/id/eprint/2249

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