An Improved Parallel AGE Method to Solve Incomplete Blow-up Problem through High Performance Computing System

Alias, Norma and Islam, Md. Rajibul and Zhafarina Muhamad, Nurul Ain and Satam, Noriza and Hamzah, Norhafiza (2010) An Improved Parallel AGE Method to Solve Incomplete Blow-up Problem through High Performance Computing System. International Journal of Open Problems in Computer Science and Mathematics, 3 (3). pp. 369-389. ISSN 1998-6262

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Abstract

Incomplete blow-up is a condition under the quasilinear heat equation. The Porous Medium Equation (PME) with power source are admitting incomplete blow-up. It is used as one of the filtration process in the industry. This filtration process has been used globally in the medical and laboratory applications. Previously, the standard numerical procedure was Gauss Seidel method to solve this problem. We propose a new variance of the Alternating Group Explicit Scheme (AGE) algorithms to solve incomplete blow-up problem through High performance computing (HPC). HPC systems include of multiple (usually mass-produced) processors linked together in a single system with commercially available interconnects. This is in contrast to mainframe computers, which are generally monolithic in nature. Four important terms that are, convergent rate by the number of iteration, execution time, computational complexity and stability are considered in this study to evaluate the performances of this approach.

Item Type: Article
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics > QA75.5-76.95 Electronic computers. Computer science
Divisions: Faculty of Information Science and Technology (FIST)
Depositing User: Users 28 not found.
Date Deposited: 23 Sep 2010 08:29
Last Modified: 23 Sep 2010 08:29
URI: http://shdl.mmu.edu.my/id/eprint/1554

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