| 分数阶Bagley-Torvik方程的近似解 |
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| 引用本文： | 李皋,张春蕊. 分数阶Bagley-Torvik方程的近似解[J]. 东北林业大学学报, 2009, 37(12) |
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| 作者姓名： | 李皋 张春蕊 |
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| 作者单位： | 东北林业大学,哈尔滨,150040 |
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| 基金项目： | 黑龙江省博士后科研基金资助 |
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| 摘 要： | 将泰勒展开法应用到分数阶Bagley-Torvik方程,同时把方程分数阶取值范围由(0,1)推广到(1,2),使此方程更接近实际背景.最后,验证了该方法的高效性.
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| 关 键 词： | 分数阶Bagley-Torvik方程 分数阶Riemann-Liouville定义 泰勒多项式 数值方法 |
Approximate Solution for the Fractional-order Bagley-Torvik Equation |
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| Li Gao,Zhang Chunrui. Approximate Solution for the Fractional-order Bagley-Torvik Equation[J]. Journal of Northeast Forestry University, 2009, 37(12) |
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| Authors: | Li Gao Zhang Chunrui |
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| Affiliation: | Li Gao,Zhang Chunrui(College of Science,Northeast Forestry University,Harbin 150040,P.R.China) |
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| Abstract: | The method of Taylor's expansion is applied to the Bagley-Torvik equation.The interval of fractional order is popularized from (0,1) to (1,2),which makes the Bagley-Torvik equation more close to the background of reality.The high efficiency of the method is validated. |
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| Keywords: | Bagley-Torvik equations Riemann-Liouville definition Taylor's expansion Numerical methods |
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