| 一类热传导自由边界问题的数值解法 |
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| 引用本文： | 凌智,田灿荣.一类热传导自由边界问题的数值解法[J].扬州大学学报(自然科学版),2008,11(4). |
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| 作者姓名： | 凌智 田灿荣 |
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| 作者单位： | 1. 扬州大学,数学科学学院,江苏,扬州,225002
2. 盐城工学院,基础部,江苏,盐城,224003 |
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| 基金项目： | 国家自然科学基金，江苏省自然科学基金，扬州大学研究生培养创新工程项目 |
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| 摘 要： | 考虑一类抛物型偏微分方程的自由边界问题,在进行边界拉直坐标变换后,用泰勒级数展开方法给出该问题数值解的求解过程,这一数值方法计算量小.通过一个具体数值算例对所求的数值解和前人已经获得的解析解进行误差比较,发现其效果理想.
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| 关 键 词： | 自由边界问题 泰勒级数 数值解 |
Numerical methods for a free boundary problem modeling heat conduction |
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| LING Zhi,TIAN Can-rong.Numerical methods for a free boundary problem modeling heat conduction[J].Journal of Yangzhou University(Natural Science Edition),2008,11(4). |
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| Authors: | LING Zhi TIAN Can-rong |
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| Institution: | LING Zhi1,TIAN Can-rong2(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China,2.Basic Sci Dept,Yancheng Tech Inst,Yancheng 224003,China) |
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| Abstract: | This paper deals with a free boundary problem of parabolic partial differential equations.Numerical computation is carried out by using a transformation of variables and Taylor series methods.It is shown that the method with little amount of computation is feasible by comparing the numerical result with the exact solution. |
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| Keywords: | free boundary problem Taylor series numerical solution |
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