| 一类非线性热传导方程移动边界问题的分析近似解 |
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| 引用本文： | 陈永德,严平.一类非线性热传导方程移动边界问题的分析近似解[J].安徽师范大学学报(自然科学版),1992,15(3):7-12. |
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| 作者姓名： | 陈永德 严平 |
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| 作者单位： | 安徽师大数学系
(陈永德)，安徽师大数学系(严平) |
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| 摘 要： | 本文通过Kirchhoff变换,自变量变换和构造Fourier型级数,对热物性参数K、ρ、C_p与温度T有关的一类非线性热传导方程移动边界问题求出了分析近似解。本文推广了文章1—2]的结果。
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| 关 键 词： | 非线性 热传导方程 移动边界 |
Approximate Analytic Solution of a Clacc of Moving Boundary Problem for Nonlinear Heat Conduction Equation |
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| Chen Yongde Yan ping.Approximate Analytic Solution of a Clacc of Moving Boundary Problem for Nonlinear Heat Conduction Equation[J].Journal of Anhui Normal University(Natural Science Edition),1992,15(3):7-12. |
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| Authors: | Chen Yongde Yan ping |
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| Institution: | Anhui Normal University |
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| Abstract: | In this paper, the thermal parameters K, and, and Cp are functions of temperature, vnder certain conditions, the approximate analytic solution of a class of moving boundary problem for nonlinear heat conduction equation is obtained by using Kirchhoff transformation, and transformation of variable, and series of Fourier type. |
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| Keywords: | Nonlinear heat conduction Moving boundary Kirchhoff transformation Fourier method Approximate analytic solution |
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