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


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Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture


Paper Type 
Contributed Paper
Title 
Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture
Author 
Zurni B. Omar* [a] and Mohamed B. Suleiman [b]
Email 
zurni@uum.edu.my
Abstract:
Parallelism is the long-term answer to powerful computation. However, the design of parallel algorithms highly depends on the parallel computer architectures. Therefore, understanding the computer architecture is very crucial before any algorithm can be developed. In this paper, new parallel algorithms namely 2-point and 3-point explicit block methods for solving higher order ordinary differential equations (ODEs) directly are introduced. These methods compute the numerical solution at two and three points simultaneously and therefore exploit the advantages of a shared memory parallel computer architecture. Computational advantages are presented comparing the results obtained by the new methods with the conventional 1-point explicit method.
Start & End Page 
9 - 21
Received Date 
2004-12-16
Revised Date 
Accepted Date 
2005-09-23
Full Text 
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Keyword 
block method, directly, ordinary differential equations, Parallel
Volume 
Vol.33 No.1 (JANUARY 2006)
DOI 
Citation 
[a] Z..B..O.. and [b] M..B..S.., Designing Parallel Algorithms for Solving Higher Order Ordinary Differential Equations Directly on a Shared Memor y P arallel Computer Architecture, Chiang Mai Journal of Science, 2006; 33(1): 9-21.
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