An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system
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 applic...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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ICSRS Publication
2010
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| Online Access: | http://eprints.utm.my/10924/1/An_Improved_Parallel_AGE_Method_to_Solve_Incomplete_Blow-up_Problem_through_High_Performance_Computing_System.pdf |
| _version_ | 1825910578344886272 |
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| author | Alias, Norma Islam, Md. Rajibul Muhamad, Nurul Ain Zhafarina Satam, Noriza Hamzah, Norhafiza |
| author_facet | Alias, Norma Islam, Md. Rajibul Muhamad, Nurul Ain Zhafarina Satam, Noriza Hamzah, Norhafiza |
| author_sort | Alias, Norma |
| collection | ePrints |
| description | 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. |
| first_indexed | 2024-03-05T18:19:10Z |
| format | Article |
| id | utm.eprints-10924 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:19:10Z |
| publishDate | 2010 |
| publisher | ICSRS Publication |
| record_format | dspace |
| spelling | utm.eprints-109242014-04-21T04:02:30Z http://eprints.utm.my/10924/ An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system Alias, Norma Islam, Md. Rajibul Muhamad, Nurul Ain Zhafarina Satam, Noriza Hamzah, Norhafiza Q Science (General) QA75 Electronic computers. Computer science 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. ICSRS Publication 2010-09 Article PeerReviewed application/pdf en http://eprints.utm.my/10924/1/An_Improved_Parallel_AGE_Method_to_Solve_Incomplete_Blow-up_Problem_through_High_Performance_Computing_System.pdf Alias, Norma and Islam, Md. Rajibul and Muhamad, Nurul Ain Zhafarina 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 http://www.emis.de/journals/IJOPCM/ 10325 |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science Alias, Norma Islam, Md. Rajibul Muhamad, Nurul Ain Zhafarina Satam, Noriza Hamzah, Norhafiza An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title | An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title_full | An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title_fullStr | An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title_full_unstemmed | An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title_short | An improved parallel AGE method to solve incomplete blow-up problem through high performance computing system |
| title_sort | improved parallel age method to solve incomplete blow up problem through high performance computing system |
| topic | Q Science (General) QA75 Electronic computers. Computer science |
| url | http://eprints.utm.my/10924/1/An_Improved_Parallel_AGE_Method_to_Solve_Incomplete_Blow-up_Problem_through_High_Performance_Computing_System.pdf |
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