| 有相变的变系数抛物型微分方程自由边界问题 |
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| 引用本文： | 崔晓丽,刘威,孟丽娜. 有相变的变系数抛物型微分方程自由边界问题[J]. 黑龙江工程学院学报, 2012, 0(2): 74-77 |
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| 作者姓名： | 崔晓丽 刘威 孟丽娜 |
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| 作者单位： | 黑龙江工程学院数学系,黑龙江哈尔滨150050 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目（11541296） |
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| 摘 要： | 研究一类变系数抛物型微分方程的自由边界问题，根据变系数这一特点，用积分插值法建立方程的守恒差分格式。在方程有相变的情况下，相应地用显式差分格式逼近微分方程，得到离散点温度值随时间或空间变量变化的规律。
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| 关 键 词： | 变系数；自由边界；数值分析；差分格式 |
A free boundary problem of parabolic equation with variable coefficient under the existence of phase-change |
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| CUI Xiao-li,LIU Wei,MENG Li-na. A free boundary problem of parabolic equation with variable coefficient under the existence of phase-change[J]. Journal of Heilongjiang Institute of Technology, 2012, 0(2): 74-77 |
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| Authors: | CUI Xiao-li LIU Wei MENG Li-na |
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| Affiliation: | (Department of Mathematics, Heilongjiang Institute of Technology, Harbin 150050, China) |
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| Abstract: | A free boundary problem of parabolic equation with variable coefficients is mainly investigated in this paper. In view of the variable coefficients, the conservation difference scheme of the equation is de- rived through the integral interpolation method. Under the condition of existence of phase-change, the ex- plicit difference scheme to approximate the differential equation is given; the changing laws of the tempera- ture at discrete point varying with the time and space variables are obtained. |
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| Keywords: | variable coefficient free boundary numerical analysis difference scheme |
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