2000 Fiscal Year Final Research Report Summary
Research on Numerical Methods of the Nonlinear Equations and its Applications
| 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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| Keywords | Nonlinear equation / polynomials / Mathieu's function / characteristic values / N-fractional calculus / fractional differential equation / Runge Kutta method / almost free damping vibration |
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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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