| Project/Area Number |
10640116
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Osaka University |
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Principal Investigator |
MIYAKODA Tsuyako Osaka University, Department of Engineering Assist.Prof., 大学院・工学研究科, 助手 (80174150)
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| Co-Investigator(Kenkyū-buntansha) |
MARUO Kenji Kobe University of Mercantile Marine, Information Systems Engineering, Prof., 商船学部, 教授 (90028225)
ISHII Hiroaki Osaka University, Department of Engineering, Prof., 大学院・工学研究科, 教授 (90107136)
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| Project Period (FY) |
1998 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Nonlinear equation / polynomials / Mathieu's function / characteristic values / N-fractional calculus / fractional differential equation / Runge Kutta method / almost free damping vibration / N-fractionalCalculus / 任意次数微分 / 3角多項式展開 / 振動モデル / 反復数値解法 / 合流型超幾何関数 / Fractional Calculus / 超幾何関数 / マチン関数 |
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| Research Abstract |
We studied mainly on the numerical methods for polynomial equations, confluent hypergeometric functions, Mathieu's function and fractional differential equations. We studies some numerical methods for solving the polynomial equation and the characteristic values of Mathieu's function.
We studied some nonhomogeneous fractional differential equations which have constant coefficients and tried to have the solution numerically. And we discuss an almost free damping vibration equation by means of N-fractional calculus.
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