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Some Parallel Numerical Methods in Solving Partial Differential Equations

Alias, Norma and Satam, Noriza and Darwis, Roziha and Hamzah, Norhafizah and A. Ghaffar, Zarith Safiza and Islam, Md. Rajibul (2010) Some Parallel Numerical Methods in Solving Partial Differential Equations. In: 2010 The 2nd International Conference on Computer Engineering and Technology (ICCET 2010), Chengdu, Sichuan, China, 16-18 April 2010.

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Abstract

This paper will discuss the solution of twodimensional partial differential equations (PDEs) using some parallel numerical methods namely Gauss Seidel and Red Black Gauss Seidel. The selected two-dimensional PDE to solve in this paper are of parabolic and elliptic type. Parallel Virtual Machine (PVM) is used in support of the communication among all microprocessors of Parallel Computing System. PVM is well known as a software system that enables a collection of heterogeneous computers to be used as coherent and flexible concurrent computational resource. The numerical results will be presented graphically and parallel performance measurement by Gauss Seidel and Red Gauss Seidel methods will be evaluated in terms of execution time, speedup, efficiency, effectiveness and temporal performance. Performance evaluations are critical as this paper aimed to fabricate an efficient Two-Dimensional PDE Solver (TDPDES). This new well-organized TDPDES technique will enhance the research and analysis procedure of many engineering and mathematic fields.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:two-dimensional partial differential equations, parabolic, elliptic, hyperbolic, parallel numerical methods, performance evaluations
Subjects:Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:Science
ID Code:10932
Deposited By: Md. Rajibul Islam
Deposited On:12 Nov 2010 09:15
Last Modified:12 Nov 2010 09:15

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