| Project/Area Number |
20740062
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Akita Prefectural University |
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Principal Investigator |
CHIAKI Hirota Akita Prefectural University, システム科学技術学部, 准教授 (00336447)
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| Research Collaborator |
MAMORU Nemoto 秋田県立大学, 大学院・システム科学技術研究科電子情報, システム学専攻
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| Project Period (FY) |
2008 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 応用数学 / 爆発解 / 微分方程式の数値解法 |
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| Research Abstract |
It is often the case in practice that the solution of differential equation diverges at a finite time. Such a solution is said to be "blow-up" solution. For blow-up solutions, blow-up time and rate have been studied. In this study we propose a numerical method of comparison of blow-up rates. Some numerical experiments show the validity of our method.
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