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...
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| Format: | Article |
| Language: | English |
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ICSRS Publication
2010
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| Online Access: | http://shdl.mmu.edu.my/1554/ http://shdl.mmu.edu.my/1554/1/IJOPCM%28vol.3.3.9.S.10%29.pdf |
| _version_ | 1848789821609213952 |
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| author | Alias, Norma Islam, Md. Rajibul Zhafarina Muhamad, Nurul Ain Satam, Noriza Hamzah, Norhafiza |
| author_facet | Alias, Norma Islam, Md. Rajibul Zhafarina Muhamad, Nurul Ain Satam, Noriza Hamzah, Norhafiza |
| author_sort | Alias, Norma |
| building | MMU Institutional Repository |
| collection | Online Access |
| 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 | 2025-11-14T18:02:49Z |
| format | Article |
| id | mmu-1554 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:02:49Z |
| publishDate | 2010 |
| publisher | ICSRS Publication |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-15542010-09-23T08:29:45Z http://shdl.mmu.edu.my/1554/ An Improved Parallel AGE Method to Solve Incomplete Blow-up Problem through High Performance Computing System Alias, Norma Islam, Md. Rajibul Zhafarina Muhamad, Nurul Ain Satam, Noriza Hamzah, Norhafiza Q Science (General) QA75.5-76.95 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 2010-09-19 Article PeerReviewed application/pdf en http://shdl.mmu.edu.my/1554/1/IJOPCM%28vol.3.3.9.S.10%29.pdf 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 http://www.emis.de/journals/IJOPCM/ |
| spellingShingle | Q Science (General) QA75.5-76.95 Electronic computers. Computer science Alias, Norma Islam, Md. Rajibul Zhafarina Muhamad, Nurul Ain 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) QA75.5-76.95 Electronic computers. Computer science |
| url | http://shdl.mmu.edu.my/1554/ http://shdl.mmu.edu.my/1554/ http://shdl.mmu.edu.my/1554/1/IJOPCM%28vol.3.3.9.S.10%29.pdf |