| 提高热平衡积分法精确度的一种新方法 |
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| 引用本文： | 杨丽琴.提高热平衡积分法精确度的一种新方法[J].肇庆学院学报,2014(2):4-8. |
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| 作者姓名： | 杨丽琴 |
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| 作者单位： | [1]内蒙古工业大学理学院,内蒙古呼和浩特010051; [2]肇庆学院数学与统计学院,广东肇庆526061 |
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| 摘 要： | 提出了一种新的误差测量函数,通过确定误差测量函数的最小值,寻求形式为多项式的温度近似函数的最高次数n的取值.该方法避免了Langford所提出的“当t趋于0时,误差测量函数的误差趋于无穷”的不足之处.算例表明新方法比2012年Myers与Mitchell提出的改进的误差测量法精度更高.
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| 关 键 词： | 误差测量函数 热平衡积分法 n次多项式 |
A New Method for Improving the Accuracy of the Heat Balance Integral Method |
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| YANG Liqin.A New Method for Improving the Accuracy of the Heat Balance Integral Method[J].Journal of Zhaoqing University (Bimonthly),2014(2):4-8. |
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| Authors: | YANG Liqin |
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| Institution: | YANG Liqin (1.College of Sciences, Inner Mongolia University of Technology ,Hohhot, Lnner Mongolia 010051, China; 2. School of Mathematics and Statistics, Zhaoqing University, Zhaoqing,Guangdnng 526061, China) |
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| Abstract: | This paper proposes a new error measurement function, through the minimum value of the measurement error to find out the optimal value of the exponent of the approximated function chosen as a polynomial. This method can avoid the case that the error tends to infinity when t tends to 0. An example shows that the new method can obtain a higher precision, compared to Myers and Mitchell＇s method proposed in 2012. |
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| Keywords: | error measurement function heat balance integral method polynomial of exponent |
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