| 单组点堆中子动力学方程的解析解 |
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| 引用本文： | 朱倩,陈文振,黎浩峰.单组点堆中子动力学方程的解析解[J].海军工程大学学报,2012,24(2):16-20. |
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| 作者姓名： | 朱倩 陈文振 黎浩峰 |
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| 作者单位： | 海军工程大学船舶与动力学院,武汉,430033 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 针对有外加中子源单组点堆中子动力学方程组的快速求解问题,提出了常数变易法和同伦分析方法,通过理论推导获得了单组点堆中子动力学方程组解析解,然后对3种不同刚性情况下的阶跃反应性引入的例子进行了求解和数值分析,验证了所得解析解的正确性。
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| 关 键 词： | 点堆 中子动力学方程 同伦分析法 常数变易法 |
Analytical solutions of point-reactor neutron kinetics equations with one delayed precursor group |
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| ZHU Qian
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CHEN Wen-zhen
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LI Hao-feng.Analytical solutions of point-reactor neutron kinetics equations with one delayed precursor group[J].Journal of Naval University of Engineering,2012,24(2):16-20. |
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| Authors: | ZHU Qian CHEN Wen-zhen LI Hao-feng |
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| Institution: | (College of Naval Architecture and Power,Naval Univ.of Engineering,Wuhan 430033,China) |
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| Abstract: | The variation constant method and homotopy analysis method were proposed to provide quick solutions to the stiff and nonlinear point-reactor neutron kinetics equations with one delayed precursor group and external neutron source.Through 3 examples,the analytical solutions were proved to be correct. |
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| Keywords: | point-reactor neutron kinetics equations homotopy analysis method variation constant method |
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