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The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM

Sahimi, Mohd Salleh and Alias, Norma and Sundararajan, Elankovan (2001) The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM. Lecture Notes in Computer Science , 2073/2001 (1). pp. 918-927. ISSN 0302-9743

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Official URL: http://dx.doi.org/10.1007/3-540-45545-0_104

Abstract

In this paper, a new algorithm in the class of the AGE In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is iterative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness.

Item Type:Article
Uncontrolled Keywords:heat equation, AGEB Algorithm , three space dimension
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QA Mathematics
Divisions:Computer Science and Information System (Formerly known)
ID Code:2424
Deposited By: Dr Norma Alias
Deposited On:04 May 2009 05:04
Last Modified:04 May 2009 05:04

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